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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/(1+200/100)-x/(1+230/100) = 300 .
    Question type: Equation
    Solution:Original question:
      x ÷ (1 + 200 ÷ 100) x ÷ (1 + 230 ÷ 100) = 300
     Multiply both sides of the equation by:(1 + 200 ÷ 100)
      x x ÷ (1 + 230 ÷ 100) × (1 + 200 ÷ 100) = 300(1 + 200 ÷ 100)
    Remove a bracket on the left of the equation::
      x x ÷ (1 + 230 ÷ 100) × 1 x ÷ (1 + 230 ÷ 100) × 200 ÷ 100 = 300(1 + 200 ÷ 100)
    Remove a bracket on the right of the equation::
      x x ÷ (1 + 230 ÷ 100) × 1 x ÷ (1 + 230 ÷ 100) × 200 ÷ 100 = 300 × 1 + 300 × 200 ÷ 100
    The equation is reduced to :
      x x ÷ (1 + 230 ÷ 100) × 1 x ÷ (1 + 230 ÷ 100) × 2 = 300 + 600
    The equation is reduced to :
      x x ÷ (1 + 230 ÷ 100) × 1 x ÷ (1 + 230 ÷ 100) × 2 = 900
     Multiply both sides of the equation by:(1 + 230 ÷ 100)
      x (1 + 230 ÷ 100) x × 1 x ÷ (1 + 230 ÷ 100) × 2(1 + 230 ÷ 100) = 900(1 + 230 ÷ 100)
    Remove a bracket on the left of the equation:
      x × 1 + x × 230 ÷ 100 x × 1 x ÷ (1 + 230 ÷ 100) × 2(1 + 230 ÷ 100) = 900(1 + 230 ÷ 100)
    Remove a bracket on the right of the equation::
      x × 1 + x × 230 ÷ 100 x × 1 x ÷ (1 + 230 ÷ 100) × 2(1 + 230 ÷ 100) = 900 × 1 + 900 × 230 ÷ 100
    The equation is reduced to :
      x × 1 + x ×
23
10
x × 1 x ÷ (1 + 230 ÷ 100) × 2(1 + 230 ÷ 100) = 900 + 2070
    The equation is reduced to :
     
23
10
x x ÷ (1 + 230 ÷ 100) × 2(1 + 230 ÷ 100) = 2970
     Multiply both sides of the equation by:(1 + 230 ÷ 100)
     
23
10
x (1 + 230 ÷ 100) x × 2(1 + 230 ÷ 100) = 2970(1 + 230 ÷ 100)
    Remove a bracket on the left of the equation:
     
23
10
x × 1 +
23
10
x × 230 ÷ 100 x × 2(1 + 230 ÷ 100) = 2970(1 + 230 ÷ 100)
    Remove a bracket on the right of the equation::
     
23
10
x × 1 +
23
10
x × 230 ÷ 100 x × 2(1 + 230 ÷ 100) = 2970 × 1 + 2970 × 230 ÷ 100
    The equation is reduced to :
     
23
10
x +
529
100
x x × 2(1 + 230 ÷ 100) = 2970 + 6831
    The equation is reduced to :
     
759
100
x x × 2(1 + 230 ÷ 100) = 9801
    Remove a bracket on the left of the equation:
     
759
100
x x × 2 × 1 x × 2 × 230 ÷ 100 = 9801
    The equation is reduced to :
     
759
100
x x × 2 x ×
23
5
= 9801
    The equation is reduced to :
     
99
100
x = 9801

    The coefficient of the unknown number is reduced to 1 :
      x = 9801 ÷
99
100
        = 9801 ×
100
99
        = 99 × 100

    We obtained :
      x = 9900
    This is the solution of the equation.



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