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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*1.12-400*0.0006 = x .
    Question type: Equation
    Solution:Original question:
     400 − (500 − x ) ÷
109
100
 ×
9
100
 ×
28
25
 − 400 ×
3
5000
 = x
     Left side of the equation = 400 − (500 − x ) ×
252
2725
 −
6
25
                                             =
9994
25
 − (500 − x ) ×
252
2725
    The equation is transformed into :
     
9994
25
 − (500 − x ) ×
252
2725
 = x
    Remove the bracket on the left of the equation:
     Left side of the equation =
9994
25
 − 500 ×
252
2725
 + x ×
252
2725
                                             =
9994
25
 −
5040
109
 + x ×
252
2725
                                             =
963346
2725
 +
252
2725
 x
    The equation is transformed into :
     
963346
2725
 +
252
2725
 x = x

    Transposition :
     
252
2725
 x − x = -
963346
2725

    Combine the items on the left of the equation:
     - 
2473
2725
 x = -
963346
2725

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
963346
2725
 =
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 =
963346
2725

    The coefficient of the unknown number is reduced to 1 :
      x =
963346
2725
 ÷
2473
2725
        =
963346
2725
 ×
2725
2473
        =
963346
109
 ×
109
2473

    We obtained :
      x =
105004714
269557
    This is the solution of the equation.

    By reducing fraction, we can get:
      x =
963346
2473

    Convert the result to decimal form :
      x = 389.545491



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