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)85+299X+(X-300/12)48 = 382592 .
    Question type: Equation
    Solution:Original question:
     ( X + 500 ÷ 12) × 85 + 299 X + ( X 300 ÷ 12) × 48 = 382592
    Remove the bracket on the left of the equation:
     Left side of the equation = X × 85 + 500 ÷ 12 × 85 + 299 X + ( X 300 ÷ 12) × 48
                                             = X × 85 +
10625
3
+ 299 X + ( X 300 ÷ 12) × 48
                                             = 384 X +
10625
3
+ ( X 300 ÷ 12) × 48
                                             = 384 X +
10625
3
+ X × 48300 ÷ 12 × 48
                                             = 384 X +
10625
3
+ X × 481200
                                             = 432 X +
7025
3
    The equation is transformed into :
     432 X +
7025
3
= 382592

    Transposition :
     432 X = 382592
7025
3

    Combine the items on the right of the equation:
     432 X =
1140751
3

    The coefficient of the unknown number is reduced to 1 :
      X =
1140751
3
÷ 432
        =
1140751
3
×
1
432

    We obtained :
      X =
1140751
1296
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 880.209105



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