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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(20000/x-10000/90)+110(20000/x-30000/x)+130(30000/x) = 20000 .
    Question type: Equation
    Solution:Original question:
     90(10000 ÷ x ) + 110(10000 ÷ 9010000 ÷ x ) + 90(20000 ÷ x 10000 ÷ 90) + 110(20000 ÷ x 30000 ÷ x ) + 130(30000 ÷ x ) = 20000
    Remove a bracket on the left of the equation::
     90 × 10000 ÷ x + 110(10000 ÷ 9010000 ÷ x ) + 90(20000 ÷ x 10000 ÷ 90) + 110(20000 ÷ x 30000 ÷ x ) + 130(30000 ÷ x ) = 20000
    The equation is reduced to :
     900000 ÷ x + 110(10000 ÷ 9010000 ÷ x ) + 90(20000 ÷ x 10000 ÷ 90) + 110(20000 ÷ x 30000 ÷ x ) + 130(30000 ÷ x ) = 20000
     Multiply both sides of the equation by: x
     900000 + 110(10000 ÷ 9010000 ÷ x ) x + 90(20000 ÷ x 10000 ÷ 90) x + 110(20000 ÷ x 30000 ÷ x ) x + 130(30000 ÷ 1) = 20000 x
    Remove a bracket on the left of the equation:
     900000 + 110 × 10000 ÷ 90 × x 110 × 10000 ÷ x × x + 90(20000 ÷ x 10000 ÷ 90) x = 20000 x
    The equation is reduced to :
     900000 +
110000
9
x 1100000 ÷ x × x + 90(20000 ÷ x 10000 ÷ 90) x + 110(20000 ÷ x 30000 ÷ x ) x = 20000 x
    Remove a bracket on the left of the equation:
     900000 +
110000
9
x 1100000 ÷ 1 × 1 + 90 × 20000 ÷ x × x 90 × 10000 = 20000 x
    The equation is reduced to :
     900000 +
110000
9
x 1100000 + 1800000 ÷ x × x 10000 x + 110(20000 ÷ x 30000 ÷ x ) x = 20000 x
    The equation is reduced to :
      - 200000 +
20000
9
x + 1800000 ÷ x × x + 110(20000 ÷ x 30000 ÷ x ) x + 130(30000 ÷ 1) = 20000 x
    Remove a bracket on the left of the equation:
      - 200000 +
20000
9
x + 1800000 ÷ 1 × 1 + 110 × 20000 ÷ x × x 110 × 30000 = 20000 x
    The equation is reduced to :
      - 200000 +
20000
9
x + 1800000 + 2200000 ÷ x × x 3300000 ÷ x × x + 130(30000 ÷ 1) = 20000 x
    The equation is reduced to :
     1600000 +
20000
9
x + 2200000 ÷ x × x 3300000 ÷ x × x + 130(30000 ÷ 1) = 20000 x
    Remove a bracket on the left of the equation:
     1600000 +
20000
9
x + 2200000 ÷ 1 × 13300000 ÷ 1 × 1 + 130 × 30000 ÷ 1 = 20000 x
    The equation is reduced to :
     1600000 +
20000
9
x + 22000003300000 + 3900000 = 20000 x
    The equation is reduced to :
     4400000 +
20000
9
x = 20000 x

    Transposition :
     
20000
9
x 20000 x = - 4400000

    Combine the items on the left of the equation:
      -
160000
9
x = - 4400000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     4400000 =
160000
9
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 :
     
160000
9
x = 4400000

    The coefficient of the unknown number is reduced to 1 :
      x = 4400000 ÷
160000
9
        = 4400000 ×
9
160000
        = 55 ×
9
2

    We obtained :
      x =
495
2
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 247.5



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