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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%*60*40+(140-100)*50+30(80-50)(140*0.1x-100) = 308 .
    Question type: Equation
    Solution:Original question:
     
30
100
× 60 × 40 + (140100) × 50 + 30(8050)(140 ×
1
10
x 100) = 308
     Left side of the equation = 720 + (140100) × 50 + 30(8050)(140 ×
1
10
x 100)
    The equation is transformed into :
     720 + (140100) × 50 + 30(8050)(140 ×
1
10
x 100) = 308
    Remove the bracket on the left of the equation:
     Left side of the equation = 720 + 140 × 50100 × 50 + 30(8050)(140 ×
1
10
x 100)
                                             = 720 + 70005000 + 30(8050)(140 ×
1
10
x 100)
                                             = 2720 + 30(8050)(140 ×
1
10
x 100)
                                             = 2720 + 30 × 80(140 ×
1
10
x 100)30 × 50(140 ×
1
10
x 100)
                                             = 2720 + 2400(140 ×
1
10
x 100)1500(140 ×
1
10
x 100)
                                             = 2720 + 2400 × 140 ×
1
10
x 2400 × 1001500(140 ×
1
10
x 100)
                                             = 2720 + 33600 x 2400001500(140 ×
1
10
x 100)
                                             = - 237280 + 33600 x 1500(140 ×
1
10
x 100)
                                             = - 237280 + 33600 x 1500 × 140 ×
1
10
x + 1500 × 100
                                             = - 237280 + 33600 x 21000 x + 150000
                                             = - 87280 + 12600 x
    The equation is transformed into :
      - 87280 + 12600 x = 308

    Transposition :
     12600 x = 308 + 87280

    Combine the items on the right of the equation:
     12600 x = 87588

    The coefficient of the unknown number is reduced to 1 :
      x = 87588 ÷ 12600
        = 87588 ×
1
12600
        = 2433 ×
1
350

    We obtained :
      x =
2433
350
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 6.951429



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