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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 [3000×40%×150]/x-[(x-150)×3000×20%]/x = 750 .
    Question type: Equation
    Solution:Original question:
     (3000 ×
40
100
× 150) ÷ x (( x 150) × 3000 ×
20
100
) ÷ x = 750
     Multiply both sides of the equation by: x
     (3000 ×
40
100
× 150)(( x 150) × 3000 ×
20
100
) ÷ 1 × 1 = 750 x
    Remove a bracket on the left of the equation::
     3000 ×
40
100
× 150(( x 150) × 3000 ×
20
100
) ÷ 1 × 1 = 750 x
    The equation is reduced to :
     180000(( x 150) × 3000 ×
20
100
) × 1 = 750 x
    Remove a bracket on the left of the equation:
     180000( x 150) × 3000 ×
20
100
× 1 = 750 x
    The equation is reduced to :
     180000( x 150) × 600 = 750 x
    Remove a bracket on the left of the equation:
     180000 x × 600 + 150 × 600 = 750 x
    The equation is reduced to :
     180000 x × 600 + 90000 = 750 x
    The equation is reduced to :
     270000600 x = 750 x

    Transposition :
      - 600 x 750 x = - 270000

    Combine the items on the left of the equation:
      - 1350 x = - 270000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     270000 = 1350 x

    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 :
     1350 x = 270000

    The coefficient of the unknown number is reduced to 1 :
      x = 270000 ÷ 1350
        = 270000 ×
1
1350
        = 200 × 1

    We obtained :
      x = 200
    This is the solution of the equation.



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