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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 (30×4+20)×(100-x)+(30×3+20×4)×x = 15000 .
    Question type: Equation
    Solution:Original question:
     (30 × 4 + 20)(100 x ) + (30 × 3 + 20 × 4) x = 15000
    Remove the bracket on the left of the equation:
     Left side of the equation = 30 × 4(100 x ) + 20(100 x ) + (30 × 3 + 20 × 4) x
                                             = 120(100 x ) + 20(100 x ) + (30 × 3 + 20 × 4) x
                                             = 120 × 100120 x + 20(100 x ) + (30 × 3 + 20 × 4) x
                                             = 12000120 x + 20(100 x ) + (30 × 3 + 20 × 4) x
                                             = 12000120 x + 20 × 10020 x + (30 × 3 + 20 × 4) x
                                             = 12000120 x + 200020 x + (30 × 3 + 20 × 4) x
                                             = 14000140 x + (30 × 3 + 20 × 4) x
                                             = 14000140 x + 30 × 3 x + 20 × 4 x
                                             = 14000140 x + 90 x + 80 x
                                             = 14000 + 30 x
    The equation is transformed into :
     14000 + 30 x = 15000

    Transposition :
     30 x = 1500014000

    Combine the items on the right of the equation:
     30 x = 1000

    The coefficient of the unknown number is reduced to 1 :
      x = 1000 ÷ 30
        = 1000 ×
1
30
        = 100 ×
1
3

    We obtained :
      x =
100
3
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 33.333333



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