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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 42+1000/3/x+230/(1/6*9*x) = 1.2*126 .
    Question type: Equation
    Solution:Original question:
     42 + 1000 ÷ 3 ÷ x + 230 ÷ (1 ÷ 6 × 9 x ) =
6
5
× 126
     Multiply both sides of the equation by: x
     42 x + 1000 ÷ 3 + 230 ÷ (1 ÷ 6 × 9 × 1) × 1 =
6
5
× 126 x
     Multiply both sides of the equation by:(1 ÷ 6 × 9 × 1)
     42 x (1 ÷ 6 × 9 × 1) + 1000 ÷ 3 × (1 ÷ 6 × 9 × 1) + 230 × 1 =
6
5
× 126 x (1 ÷ 6 × 9 × 1)
    Remove a bracket on the left of the equation:
     42 x × 1 ÷ 6 × 9 × 1 + 1000 ÷ 3 × (1 ÷ 6 × 9 × 1) + 230 × 1 =
6
5
× 126 x (1 ÷ 6 × 9 × 1)
    Remove a bracket on the right of the equation::
     42 x × 1 ÷ 6 × 9 × 1 + 1000 ÷ 3 × (1 ÷ 6 × 9 × 1) + 230 × 1 =
6
5
× 126 x × 1 ÷ 6 × 9 × 1
    The equation is reduced to :
     63 x +
1000
3
(1 ÷ 6 × 9 × 1) + 230 =
1134
5
x
    Remove a bracket on the left of the equation:
     63 x +
1000
3
× 1 ÷ 6 × 9 × 1 + 230 =
1134
5
x
    The equation is reduced to :
     63 x + 500 + 230 =
1134
5
x
    The equation is reduced to :
     63 x + 730 =
1134
5
x

    Transposition :
     63 x
1134
5
x = - 730

    Combine the items on the left of the equation:
      -
819
5
x = - 730

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     730 =
819
5
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 :
     
819
5
x = 730

    The coefficient of the unknown number is reduced to 1 :
      x = 730 ÷
819
5
        = 730 ×
5
819

    We obtained :
      x =
3650
819
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 4.456654



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