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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 400-（500-x）/1.09*0.09*1.12-500*0.0006 = x .
    Question type: Equation
    Solution:Original question:
     400 − (500 − x ) ÷
109
100
 ×
9
100
 ×
28
25
 − 500 ×
3
5000
 = x
     Left side of the equation = 400 − (500 − x ) ×
252
2725
 −
3
10
                                             =
3997
10
 − (500 − x ) ×
252
2725
    The equation is transformed into :
     
3997
10
 − (500 − x ) ×
252
2725
 = x
    Remove the bracket on the left of the equation:
     Left side of the equation =
3997
10
 − 500 ×
252
2725
 + x ×
252
2725
                                             =
3997
10
 −
5040
109
 + x ×
252
2725
                                             =
385273
1090
 +
252
2725
 x
    The equation is transformed into :
     
385273
1090
 +
252
2725
 x = x

    Transposition :
     
252
2725
 x − x = -
385273
1090

    Combine the items on the left of the equation:
     - 
2473
2725
 x = -
385273
1090

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
385273
1090
 =
2473
2725
 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 :
     
2473
2725
 x =
385273
1090

    The coefficient of the unknown number is reduced to 1 :
      x =
385273
1090
 ÷
2473
2725
        =
385273
1090
 ×
2725
2473
        =
385273
218
 ×
545
2473

    We obtained :
      x =
209973785
539114
    This is the solution of the equation.

    By reducing fraction, we can get:
      x =
1926365
4946

    Convert the result to decimal form :
      x = 389.479377



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