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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 2x/(x-2)-5/(2-x) = 1 .
    Question type: Equation
    Solution:Original question:
     2 x ÷ ( x 2)5 ÷ (2 x ) = 1
     Multiply both sides of the equation by:( x 2)
     2 x 5 ÷ (2 x ) × ( x 2) = 1( x 2)
    Remove a bracket on the left of the equation::
     2 x 5 ÷ (2 x ) × x + 5 ÷ (2 x ) × 2 = 1( x 2)
    Remove a bracket on the right of the equation::
     2 x 5 ÷ (2 x ) × x + 5 ÷ (2 x ) × 2 = 1 x 1 × 2
    The equation is reduced to :
     2 x 5 ÷ (2 x ) × x + 10 ÷ (2 x ) = 1 x 2
     Multiply both sides of the equation by:(2 x )
     2 x (2 x )5 x + 10 = 1 x (2 x )2(2 x )
    Remove a bracket on the left of the equation:
     2 x × 22 x x 5 x + 10 = 1 x (2 x )2(2 x )
    Remove a bracket on the right of the equation::
     2 x × 22 x x 5 x + 10 = 1 x × 21 x x 2(2 x )
    The equation is reduced to :
     4 x 2 x x 5 x + 10 = 2 x 1 x x 2(2 x )
    The equation is reduced to :
      - 1 x 2 x x + 10 = 2 x 1 x x 2(2 x )
    Remove a bracket on the right of the equation::
      - 1 x 2 x x + 10 = 2 x 1 x x 2 × 2 + 2 x
    The equation is reduced to :
      - 1 x 2 x x + 10 = 2 x 1 x x 4 + 2 x
    The equation is reduced to :
      - 1 x 2 x x + 10 = 4 x 1 x x 4

    the solutions is:
        x1=-7
    
    There are 1 solution(s).


解方程的详细方法请参阅:《方程的解法》



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