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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 38.6*3964（200+x） = 3*1000*200*（x-3764） .
    Question type: Equation
    Solution:Original question:
     
193
5
 × 3964(200 + x ) = 3 × 1000 × 200( x − 3764)
     Left side of the equation =
765052
5
(200 + x )
    The equation is transformed into :
     
765052
5
(200 + x ) = 3 × 1000 × 200( x − 3764)
    Remove the bracket on the left of the equation:
     Left side of the equation =
765052
5
 × 200 +
765052
5
 x
                                             = 30602080 +
765052
5
 x
    The equation is transformed into :
     30602080 +
765052
5
 x = 3 × 1000 × 200( x − 3764)
     Right side of the equation = 600000( x − 3764)
    The equation is transformed into :
     30602080 +
765052
5
 x = 600000( x − 3764)
    Remove the bracket on the right of the equation:
     Right side of the equation = 600000 x − 600000 × 3764
                                               = 600000 x − 2258400000
    The equation is transformed into :
     30602080 +
765052
5
 x = 600000 x − 2258400000

    Transposition :
     
765052
5
 x − 600000 x = - 2258400000 − 30602080

    Combine the items on the left of the equation:
      -
2234948
5
 x = - 2258400000 − 30602080

    Combine the items on the right of the equation:
      -
2234948
5
 x = - 2289002080

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     2289002080 =
2234948
5
 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 :
     
2234948
5
 x = 2289002080

    The coefficient of the unknown number is reduced to 1 :
      x = 2289002080 ÷
2234948
5
        = 2289002080 ×
5
2234948
        = 572250520 ×
5
558737

    We obtained :
      x =
2861252600
558737
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 5120.929167



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