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On line Solution of Monovariate Equation：
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 7 questions will be solved this time.Among them
           ☆7 equations

[ 1/7 Equation]
    Work: Find the solution of equation a+(a-100)*((175-1)*0.005) = 755.3 .
    Question type: Equation
    Solution:Original question:
      a + ( a − 100)((175 − 1) ×
1
200
) =
7553
10
    Remove the bracket on the left of the equation:
     Left side of the equation = a + a ((175 − 1) ×
1
200
) − 100((175 − 1) ×
1
200
)
                                             = a + a (175 − 1) ×
1
200
 − 100((175 − 1) ×
1
200
)
                                             = a + a × 175 ×
1
200
 − a × 1 ×
1
200
 − 100((175 − 1) ×
1
200
)
                                             = a + a ×
7
8
 − a ×
1
200
 − 100((175 − 1) ×
1
200
)
                                             =
187
100
 a − 100((175 − 1) ×
1
200
)
                                             =
187
100
 a − 100(175 − 1) ×
1
200
                                             =
187
100
 a −
1
2
(175 − 1)
                                             =
187
100
 a −
1
2
 × 175 +
1
2
 × 1
                                             =
187
100
 a −
175
2
 +
1
2
                                             =
187
100
 a − 87
    The equation is transformed into :
     
187
100
 a − 87 =
7553
10

    Transposition :
     
187
100
 a =
7553
10
 + 87

    Combine the items on the right of the equation:
     
187
100
 a =
8423
10

    The coefficient of the unknown number is reduced to 1 :
      a =
8423
10
 ÷
187
100
        =
8423
10
 ×
100
187
        = 8423 ×
10
187

    We obtained :
      a =
84230
187
    This is the solution of the equation.

    Convert the result to decimal form :
      a = 450.427807

[ 2/7 Equation]
    Work: Find the solution of equation a+(a-100)*((165-1)*0.005) = 755.3 .
    Question type: Equation
    Solution:Original question:
      a + ( a − 100)((165 − 1) ×
1
200
) =
7553
10
    Remove the bracket on the left of the equation:
     Left side of the equation = a + a ((165 − 1) ×
1
200
) − 100((165 − 1) ×
1
200
)
                                             = a + a (165 − 1) ×
1
200
 − 100((165 − 1) ×
1
200
)
                                             = a + a × 165 ×
1
200
 − a × 1 ×
1
200
 − 100((165 − 1) ×
1
200
)
                                             = a + a ×
33
40
 − a ×
1
200
 − 100((165 − 1) ×
1
200
)
                                             =
91
50
 a − 100((165 − 1) ×
1
200
)
                                             =
91
50
 a − 100(165 − 1) ×
1
200
                                             =
91
50
 a −
1
2
(165 − 1)
                                             =
91
50
 a −
1
2
 × 165 +
1
2
 × 1
                                             =
91
50
 a −
165
2
 +
1
2
                                             =
91
50
 a − 82
    The equation is transformed into :
     
91
50
 a − 82 =
7553
10

    Transposition :
     
91
50
 a =
7553
10
 + 82

    Combine the items on the right of the equation:
     
91
50
 a =
8373
10

    The coefficient of the unknown number is reduced to 1 :
      a =
8373
10
 ÷
91
50
        =
8373
10
 ×
50
91
        = 8373 ×
5
91

    We obtained :
      a =
41865
91
    This is the solution of the equation.

    Convert the result to decimal form :
      a = 460.054945

[ 3/7 Equation]
    Work: Find the solution of equation a+(a-100)*((145-1)*0.005) = 755.3 .
    Question type: Equation
    Solution:Original question:
      a + ( a − 100)((145 − 1) ×
1
200
) =
7553
10
    Remove the bracket on the left of the equation:
     Left side of the equation = a + a ((145 − 1) ×
1
200
) − 100((145 − 1) ×
1
200
)
                                             = a + a (145 − 1) ×
1
200
 − 100((145 − 1) ×
1
200
)
                                             = a + a × 145 ×
1
200
 − a × 1 ×
1
200
 − 100((145 − 1) ×
1
200
)
                                             = a + a ×
29
40
 − a ×
1
200
 − 100((145 − 1) ×
1
200
)
                                             =
43
25
 a − 100((145 − 1) ×
1
200
)
                                             =
43
25
 a − 100(145 − 1) ×
1
200
                                             =
43
25
 a −
1
2
(145 − 1)
                                             =
43
25
 a −
1
2
 × 145 +
1
2
 × 1
                                             =
43
25
 a −
145
2
 +
1
2
                                             =
43
25
 a − 72
    The equation is transformed into :
     
43
25
 a − 72 =
7553
10

    Transposition :
     
43
25
 a =
7553
10
 + 72

    Combine the items on the right of the equation:
     
43
25
 a =
8273
10

    The coefficient of the unknown number is reduced to 1 :
      a =
8273
10
 ÷
43
25
        =
8273
10
 ×
25
43
        =
8273
2
 ×
5
43

    We obtained :
      a =
41365
86
    This is the solution of the equation.

    Convert the result to decimal form :
      a = 480.988372

[ 4/7 Equation]
    Work: Find the solution of equation a+(a-100)*((135-1)*0.005) = 755.3 .
    Question type: Equation
    Solution:Original question:
      a + ( a − 100)((135 − 1) ×
1
200
) =
7553
10
    Remove the bracket on the left of the equation:
     Left side of the equation = a + a ((135 − 1) ×
1
200
) − 100((135 − 1) ×
1
200
)
                                             = a + a (135 − 1) ×
1
200
 − 100((135 − 1) ×
1
200
)
                                             = a + a × 135 ×
1
200
 − a × 1 ×
1
200
 − 100((135 − 1) ×
1
200
)
                                             = a + a ×
27
40
 − a ×
1
200
 − 100((135 − 1) ×
1
200
)
                                             =
167
100
 a − 100((135 − 1) ×
1
200
)
                                             =
167
100
 a − 100(135 − 1) ×
1
200
                                             =
167
100
 a −
1
2
(135 − 1)
                                             =
167
100
 a −
1
2
 × 135 +
1
2
 × 1
                                             =
167
100
 a −
135
2
 +
1
2
                                             =
167
100
 a − 67
    The equation is transformed into :
     
167
100
 a − 67 =
7553
10

    Transposition :
     
167
100
 a =
7553
10
 + 67

    Combine the items on the right of the equation:
     
167
100
 a =
8223
10

    The coefficient of the unknown number is reduced to 1 :
      a =
8223
10
 ÷
167
100
        =
8223
10
 ×
100
167
        = 8223 ×
10
167

    We obtained :
      a =
82230
167
    This is the solution of the equation.

    Convert the result to decimal form :
      a = 492.39521

[ 5/7 Equation]
    Work: Find the solution of equation a+(a-100)*((125-1)*0.005) = 755.3 .
    Question type: Equation
    Solution:Original question:
      a + ( a − 100)((125 − 1) ×
1
200
) =
7553
10
    Remove the bracket on the left of the equation:
     Left side of the equation = a + a ((125 − 1) ×
1
200
) − 100((125 − 1) ×
1
200
)
                                             = a + a (125 − 1) ×
1
200
 − 100((125 − 1) ×
1
200
)
                                             = a + a × 125 ×
1
200
 − a × 1 ×
1
200
 − 100((125 − 1) ×
1
200
)
                                             = a + a ×
5
8
 − a ×
1
200
 − 100((125 − 1) ×
1
200
)
                                             =
81
50
 a − 100((125 − 1) ×
1
200
)
                                             =
81
50
 a − 100(125 − 1) ×
1
200
                                             =
81
50
 a −
1
2
(125 − 1)
                                             =
81
50
 a −
1
2
 × 125 +
1
2
 × 1
                                             =
81
50
 a −
125
2
 +
1
2
                                             =
81
50
 a − 62
    The equation is transformed into :
     
81
50
 a − 62 =
7553
10

    Transposition :
     
81
50
 a =
7553
10
 + 62

    Combine the items on the right of the equation:
     
81
50
 a =
8173
10

    The coefficient of the unknown number is reduced to 1 :
      a =
8173
10
 ÷
81
50
        =
8173
10
 ×
50
81
        = 8173 ×
5
81

    We obtained :
      a =
40865
81
    This is the solution of the equation.

    Convert the result to decimal form :
      a = 504.506173

[ 6/7 Equation]
    Work: Find the solution of equation a+(a-100)*((115-1)*0.005) = 755.3 .
    Question type: Equation
    Solution:Original question:
      a + ( a − 100)((115 − 1) ×
1
200
) =
7553
10
    Remove the bracket on the left of the equation:
     Left side of the equation = a + a ((115 − 1) ×
1
200
) − 100((115 − 1) ×
1
200
)
                                             = a + a (115 − 1) ×
1
200
 − 100((115 − 1) ×
1
200
)
                                             = a + a × 115 ×
1
200
 − a × 1 ×
1
200
 − 100((115 − 1) ×
1
200
)
                                             = a + a ×
23
40
 − a ×
1
200
 − 100((115 − 1) ×
1
200
)
                                             =
157
100
 a − 100((115 − 1) ×
1
200
)
                                             =
157
100
 a − 100(115 − 1) ×
1
200
                                             =
157
100
 a −
1
2
(115 − 1)
                                             =
157
100
 a −
1
2
 × 115 +
1
2
 × 1
                                             =
157
100
 a −
115
2
 +
1
2
                                             =
157
100
 a − 57
    The equation is transformed into :
     
157
100
 a − 57 =
7553
10

    Transposition :
     
157
100
 a =
7553
10
 + 57

    Combine the items on the right of the equation:
     
157
100
 a =
8123
10

    The coefficient of the unknown number is reduced to 1 :
      a =
8123
10
 ÷
157
100
        =
8123
10
 ×
100
157
        = 8123 ×
10
157

    We obtained :
      a =
81230
157
    This is the solution of the equation.

    Convert the result to decimal form :
      a = 517.388535

[ 7/7 Equation]
    Work: Find the solution of equation a+(a-100)*((105-1)*0.005) = 755.3 .
    Question type: Equation
    Solution:Original question:
      a + ( a − 100)((105 − 1) ×
1
200
) =
7553
10
    Remove the bracket on the left of the equation:
     Left side of the equation = a + a ((105 − 1) ×
1
200
) − 100((105 − 1) ×
1
200
)
                                             = a + a (105 − 1) ×
1
200
 − 100((105 − 1) ×
1
200
)
                                             = a + a × 105 ×
1
200
 − a × 1 ×
1
200
 − 100((105 − 1) ×
1
200
)
                                    &nb

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