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+500/12)96+288X+(X-300/12)48 = 382592 .
    Question type: Equation
    Solution:Original question:
     ( X + 500 ÷ 12) × 96 + 288 X + ( X 300 ÷ 12) × 48 = 382592
    Remove the bracket on the left of the equation:
     Left side of the equation = X × 96 + 500 ÷ 12 × 96 + 288 X + ( X 300 ÷ 12) × 48
                                             = X × 96 + 4000 + 288 X + ( X 300 ÷ 12) × 48
                                             = 384 X + 4000 + ( X 300 ÷ 12) × 48
                                             = 384 X + 4000 + X × 48300 ÷ 12 × 48
                                             = 384 X + 4000 + X × 481200
                                             = 432 X + 2800
    The equation is transformed into :
     432 X + 2800 = 382592

    Transposition :
     432 X = 3825922800

    Combine the items on the right of the equation:
     432 X = 379792

    The coefficient of the unknown number is reduced to 1 :
      X = 379792 ÷ 432
        = 379792 ×
1
432
        = 23737 ×
1
27

    We obtained :
      X =
23737
27
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 879.148148



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