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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 90(10000/x)+110(10000/90+10000/x)+90(10000/x)+110(20000/x-10000/90) = 20000 .
    Question type: Equation
    Solution:Original question:
     90(10000 ÷ x ) + 110(10000 ÷ 90 + 10000 ÷ x ) + 90(10000 ÷ x ) + 110(20000 ÷ x 10000 ÷ 90) = 20000
    Remove a bracket on the left of the equation::
     90 × 10000 ÷ x + 110(10000 ÷ 90 + 10000 ÷ x ) + 90(10000 ÷ x ) + 110(20000 ÷ x 10000 ÷ 90) = 20000
    The equation is reduced to :
     900000 ÷ x + 110(10000 ÷ 90 + 10000 ÷ x ) + 90(10000 ÷ x ) + 110(20000 ÷ x 10000 ÷ 90) = 20000
     Multiply both sides of the equation by: x
     900000 + 110(10000 ÷ 90 + 10000 ÷ x ) x + 90(10000 ÷ 1) × 1 + 110(20000 ÷ x 10000 ÷ 90) x = 20000 x
    Remove a bracket on the left of the equation:
     900000 + 110 × 10000 ÷ 90 × x + 110 × 10000 ÷ x × x + 90(10000 ÷ 1) × 1 = 20000 x
    The equation is reduced to :
     900000 +
110000
9
x + 1100000 ÷ x × x + 90(10000 ÷ 1) + 110(20000 ÷ x 10000 ÷ 90) x = 20000 x
    Remove a bracket on the left of the equation:
     900000 +
110000
9
x + 1100000 ÷ 1 × 1 + 90 × 10000 ÷ 1 + 110(20000 ÷ x 10000 ÷ 90) x = 20000 x
    The equation is reduced to :
     900000 +
110000
9
x + 1100000 + 900000 + 110(20000 ÷ x 10000 ÷ 90) x = 20000 x
    The equation is reduced to :
     2900000 +
110000
9
x + 110(20000 ÷ x 10000 ÷ 90) x = 20000 x
    Remove a bracket on the left of the equation:
     2900000 +
110000
9
x + 110 × 20000 ÷ x × x 110 × 10000 ÷ 90 × x = 20000 x
    The equation is reduced to :
     2900000 +
110000
9
x + 2200000 ÷ x × x
110000
9
x = 20000 x
    The equation is reduced to :
     2900000 + 0 x + 2200000 ÷ x × x = 20000 x

    Transposition :
      - 20000 x = - 29000002200000 ÷ 1 × 1

    Calculate the items on the right of the equation:
      - 20000 x = - 29000002200000

    Combine the items on the right of the equation:
      - 20000 x = - 5100000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     5100000 = 20000 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 :
     20000 x = 5100000

    The coefficient of the unknown number is reduced to 1 :
      x = 5100000 ÷ 20000
        = 5100000 ×
1
20000
        = 255 × 1

    We obtained :
      x = 255
    This is the solution of the equation.



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