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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 (X-400)*0.75-30/1025 = (X-406)*0.75/1000 .
    Question type: Equation
    Solution:Original question:
     ( X − 400) ×
3
4
 − 30 ÷ 1025 = ( X − 406) ×
3
4
 ÷ 1000
     Left side of the equation = ( X − 400) ×
3
4
 −
6
205
    The equation is transformed into :
     ( X − 400) ×
3
4
 −
6
205
 = ( X − 406) ×
3
4
 ÷ 1000
    Remove the bracket on the left of the equation:
     Left side of the equation = X ×
3
4
 − 400 ×
3
4
 −
6
205
                                             = X ×
3
4
 − 300 −
6
205
                                             =
3
4
 X −
61506
205
    The equation is transformed into :
     
3
4
 X −
61506
205
 = ( X − 406) ×
3
4
 ÷ 1000
     Right side of the equation = ( X − 406) ×
3
4000
    The equation is transformed into :
     
3
4
 X −
61506
205
 = ( X − 406) ×
3
4000
    Remove the bracket on the right of the equation:
     Right side of the equation = X ×
3
4000
 − 406 ×
3
4000
                                               = X ×
3
4000
 −
609
2000
    The equation is transformed into :
     
3
4
 X −
61506
205
 =
3
4000
 X −
609
2000

    Transposition :
     
3
4
 X −
3
4000
 X = -
609
2000
 +
61506
205

    Combine the items on the left of the equation:
     
2997
4000
 X = -
609
2000
 +
61506
205

    Combine the items on the right of the equation:
     
2997
4000
 X =
24577431
82000

    The coefficient of the unknown number is reduced to 1 :
      X =
24577431
82000
 ÷
2997
4000
        =
24577431
82000
 ×
4000
2997
        =
8192477
41
 ×
2
999

    We obtained :
      X =
16384954
40959
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 400.033057



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