Mathematics
         
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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+300/12)60+231X+(X-200/12)36 = 38832 .
    Question type: Equation
    Solution:Original question:
     ( X + 300 ÷ 12) × 60 + 231 X + ( X 200 ÷ 12) × 36 = 38832
    Remove the bracket on the left of the equation:
     Left side of the equation = X × 60 + 300 ÷ 12 × 60 + 231 X + ( X 200 ÷ 12) × 36
                                             = X × 60 + 1500 + 231 X + ( X 200 ÷ 12) × 36
                                             = 291 X + 1500 + ( X 200 ÷ 12) × 36
                                             = 291 X + 1500 + X × 36200 ÷ 12 × 36
                                             = 291 X + 1500 + X × 36600
                                             = 327 X + 900
    The equation is transformed into :
     327 X + 900 = 38832

    Transposition :
     327 X = 38832900

    Combine the items on the right of the equation:
     327 X = 37932

    The coefficient of the unknown number is reduced to 1 :
      X = 37932 ÷ 327
        = 37932 ×
1
327
        = 12644 ×
1
109

    We obtained :
      X =
12644
109
    This is the solution of the equation.

    By reducing fraction, we can get:
      X = 116



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