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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.
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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*40%*70+x*60%*30+400*1.5*40%*40+400*1.5*60%*20)*(1-10%)-20286 = 10000 .
    Question type: Equation
    Solution:Original question:
     ( x ×
40
100
 × 70 + x ×
60
100
 × 30 + 400 ×
3
2
 ×
40
100
 × 40 + 400 ×
3
2
)(1 −
10
100
) − 20286 = 10000
    Remove the bracket on the left of the equation:
     Left side of the equation = x ×
40
100
 × 70(1 −
10
100
) + x ×
60
100
 × 30(1 −
10
100
) + 400 ×
3
2
 ×
40
100
 × 40
                                             = x × 28(1 −
10
100
) + x × 18(1 −
10
100
) + 9600(1 −
10
100
) + 7200(1 −
10
100
) − 20286
                                             = x × 28 × 1 − x × 28 ×
10
100
 + x × 18(1 −
10
100
) + 9600(1 −
10
100
) + 7200
                                             = x × 28 − x ×
14
5
 + x × 18(1 −
10
100
) + 9600(1 −
10
100
) + 7200(1 −
10
100
) − 20286
                                             =
126
5
 x + x × 18(1 −
10
100
) + 9600(1 −
10
100
) + 7200(1 −
10
100
) − 20286
                                             =
126
5
 x + x × 18 × 1 − x × 18 ×
10
100
 + 9600(1 −
10
100
) + 7200(1 −
10
100
)
                                             =
126
5
 x + x × 18 − x ×
9
5
 + 9600(1 −
10
100
) + 7200(1 −
10
100
) − 20286
                                             =
207
5
 x + 9600(1 −
10
100
) + 7200(1 −
10
100
) − 20286
                                             =
207
5
 x + 9600 × 1 − 9600 ×
10
100
 + 7200(1 −
10
100
) − 20286
                                             =
207
5
 x + 9600 − 960 + 7200(1 −
10
100
) − 20286
                                             =
207
5
 x − 11646 + 7200(1 −
10
100
)
                                             =
207
5
 x − 11646 + 7200 × 1 − 7200 ×
10
100
                                             =
207
5
 x − 11646 + 7200 − 720
                                             =
207
5
 x − 5166
    The equation is transformed into :
     
207
5
 x − 5166 = 10000

    Transposition :
     
207
5
 x = 10000 + 5166

    Combine the items on the right of the equation:
     
207
5
 x = 15166

    The coefficient of the unknown number is reduced to 1 :
      x = 15166 ÷
207
5
        = 15166 ×
5
207

    We obtained :
      x =
75830
207
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 366.328502



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