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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 (200*120+3000)*30% = a*120*(1-5%)-(200*120+3000) .
    Question type: Equation
    Solution:Original question:
     (200 × 120 + 3000) ×
30
100
= a × 120(1
5
100
)(200 × 120 + 3000)
    Remove the bracket on the left of the equation:
     Left side of the equation = 200 × 120 ×
30
100
+ 3000 ×
30
100
                                             = 7200 + 900
                                             = 8100
    The equation is transformed into :
     8100 = a × 120(1
5
100
)(200 × 120 + 3000)
    Remove the bracket on the right of the equation:
     Right side of the equation = a × 120 × 1 a × 120 ×
5
100
(200 × 120 + 3000)
                                               = a × 120 a × 6(200 × 120 + 3000)
                                               = 114 a (200 × 120 + 3000)
                                               = 114 a 200 × 1203000
                                               = 114 a 240003000
                                               = 114 a 27000
    The equation is transformed into :
     8100 = 114 a 27000

    Transposition :
      - 114 a = - 270008100

    Combine the items on the right of the equation:
      - 114 a = - 35100

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     35100 = 114 a

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     114 a = 35100

    The coefficient of the unknown number is reduced to 1 :
      a = 35100 ÷ 114
        = 35100 ×
1
114
        = 5850 ×
1
19

    We obtained :
      a =
5850
19
    This is the solution of the equation.

    Convert the result to decimal form :
      a = 307.894737



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