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    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 【(x-10000x6%-4000/1250*1000*9%)*(1-25%)-6000*10%】/1000 = [(x-10000*6%)*(1-25%)-6000*10%]/1400 .
    Question type: Equation
    Solution:Original question:
     (( x − 10000 x ×
6
100
 − 4000 ÷ 1250 × 1000 ×
9
100
)(1 −
25
100
) − 6000 ×
10
100
) ÷ 1000 = (( x − 10000 ×
6
100
)(1 −
25
100
) − 6000 ×
10
100
) ÷ 1400
    Remove the bracket on the left of the equation:
     Left side of the equation = ( x − 10000 x ×
6
100
 − 4000 ÷ 1250 × 1000 ×
9
100
)(1 −
25
100
) ×
1
1000
 − 6000 ×
10
100
 ×
1
1000
                                             = ( x − 10000 x ×
6
100
 − 4000 ÷ 1250 × 1000 ×
9
100
)(1 −
25
100
) ×
1
1000
 −
3
5
                                             = x (1 −
25
100
) ×
1
1000
 − 10000 x ×
6
100
(1 −
25
100
) ×
1
1000
 − 4000 ÷ 1250 × 1000 ×
9
100
                                             = x (1 −
25
100
) ×
1
1000
 −
3
5
 x (1 −
25
100
) −
36
125
(1 −
25
100
) −
3
5
                                             = x × 1 ×
1
1000
 − x ×
25
100
 ×
1
1000
 −
3
5
 x (1 −
25
100
) −
36
125
(1 −
25
100
) −
3
5
                                             = x ×
1
1000
 − x ×
1
4000
 −
3
5
 x (1 −
25
100
) −
36
125
(1 −
25
100
) −
3
5
                                             =
3
4000
 x −
3
5
 x (1 −
25
100
) −
36
125
(1 −
25
100
) −
3
5
                                             =
3
4000
 x −
3
5
 x × 1 +
3
5
 x ×
25
100
 −
36
125
(1 −
25
100
) −
3
5
                                             =
3
4000
 x −
3
5
 x +
3
20
 x −
36
125
(1 −
25
100
) −
3
5
                                             = -
1797
4000
 x −
36
125
(1 −
25
100
) −
3
5
                                             = -
1797
4000
 x −
36
125
 × 1 +
36
125
 ×
25
100
 −
3
5
                                             = -
1797
4000
 x −
36
125
 +
9
125
 −
3
5
                                             = -
1797
4000
 x −
102
125
    The equation is transformed into :
      -
1797
4000
 x −
102
125
 = (( x − 10000 ×
6
100
)(1 −
25
100
) − 6000 ×
10
100
) ÷ 1400
    Remove the bracket on the right of the equation:
     Right side of the equation = ( x − 10000 ×
6
100
)(1 −
25
100
) ×
1
1400
 − 6000 ×
10
100
 ×
1
1400
                                               = ( x − 10000 ×
6
100
)(1 −
25
100
) ×
1
1400
 −
3
7
                                               = x (1 −
25
100
) ×
1
1400
 − 10000 ×
6
100
(1 −
25
100
) ×
1
1400
 −
3
7
                                               = x (1 −
25
100
) ×
1
1400
 −
3
7
(1 −
25
100
) −
3
7
                                               = x × 1 ×
1
1400
 − x ×
25
100
 ×
1
1400
 −
3
7
(1 −
25
100
) −
3
7
                                               = x ×
1
1400
 − x ×
1
5600
 −
3
7
(1 −
25
100
) −
3
7
                                               =
3
5600
 x −
3
7
(1 −
25
100
) −
3
7
                                               =
3
5600
 x −
3
7
 × 1 +
3
7
 ×
25
100
 −
3
7
                                               =
3
5600
 x −
3
7
 +
3
28
 −
3
7
                                               =
3
5600
 x −
3
4
    The equation is transformed into :
      -
1797
4000
 x −
102
125
 =
3
5600
 x −
3
4
    The equation can be reduced to :
      -
1797
4000
 x −
102
125
 =
3
5600
 x −
3
4

    Transposition :
      -
1797
4000
 x −
3
5600
 x = -
3
4
 +
102
125

    Combine the items on the left of the equation:
      -
6297
14000
 x = -
3
4
 +
102
125

    Combine the items on the right of the equation:
      -
6297
14000
 x =
33
500

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
33
500
 =
6297
14000
 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 :
     
6297
14000
 x = -
33
500

    The coefficient of the unknown number is reduced to 1 :
      x = -
33
500
 ÷
6297
14000
        = -
33
500
 ×
14000
6297
        = - 11 ×
28
2099

    We obtained :
      x = -
308
2099
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 0.146737



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