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

[ 1/1 Equation]
    Work: Find the solution of equation (62.9*0.97-X)*0.83-X*0.02-62.9*0.5 = ((114*0.97-X)*0.83-X*0.02-114*0.5)*0.55 .
    Question type: Equation
    Solution:Original question:
     (
629
10
×
97
100
X ) ×
83
100
X ×
1
50
629
10
×
1
2
= ((114 ×
97
100
X ) ×
83
100
X ×
1
50
114 ×
1
2
) ×
11
20
     Left side of the equation = (
629
10
×
97
100
X ) ×
83
100
X ×
1
50
629
20
    The equation is transformed into :
     (
629
10
×
97
100
X ) ×
83
100
1
50
X
629
20
= ((114 ×
97
100
X ) ×
83
100
X ×
1
50
114 ×
1
2
) ×
11
20
    Remove the bracket on the left of the equation:
     Left side of the equation =
629
10
×
97
100
×
83
100
X ×
83
100
1
50
X
629
20
                                             =
5064079
100000
X ×
83
100
1
50
X
629
20
                                             =
1919079
100000
17
20
X
    The equation is transformed into :
     
1919079
100000
17
20
X = ((114 ×
97
100
X ) ×
83
100
X ×
1
50
114 ×
1
2
) ×
11
20
    Remove the bracket on the right of the equation:
     Right side of the equation = (114 ×
97
100
X ) ×
83
100
×
11
20
X ×
1
50
×
11
20
114 ×
1
2
×
11
20
                                               = (114 ×
97
100
X ) ×
913
2000
X ×
11
1000
627
20
                                               = 114 ×
97
100
×
913
2000
X ×
913
2000
11
1000
X
627
20
                                               =
5047977
100000
X ×
913
2000
11
1000
X
627
20
                                               =
1912977
100000
187
400
X
    The equation is transformed into :
     
1919079
100000
17
20
X =
1912977
100000
187
400
X

    Transposition :
      -
17
20
X +
187
400
X =
1912977
100000
1919079
100000

    Combine the items on the left of the equation:
      -
153
400
X =
1912977
100000
1919079
100000

    Combine the items on the right of the equation:
      -
153
400
X = -
3051
50000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
3051
50000
=
153
400
X

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
153
400
X =
3051
50000

    The coefficient of the unknown number is reduced to 1 :
      X =
3051
50000
÷
153
400
        =
3051
50000
×
400
153
        =
339
125
×
1
17

    We obtained :
      X =
339
2125
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 0.159529



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