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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/(x+2)]+[8/(4-x2)] = (x+2)/(x-2) .
    Question type: Equation
    Solution:Original question:
     ( x ÷ ( x + 2)) + (8 ÷ (4 x × 2)) = ( x + 2) ÷ ( x 2)
     Multiply both sides of the equation by:( x 2)
     ( x ÷ ( x + 2))( x 2) + (8 ÷ (4 x × 2))( x 2) = ( x + 2)
    Remove a bracket on the left of the equation::
      x ÷ ( x + 2) × ( x 2) + (8 ÷ (4 x × 2))( x 2) = ( x + 2)
    Remove a bracket on the right of the equation::
      x ÷ ( x + 2) × ( x 2) + (8 ÷ (4 x × 2))( x 2) = x + 2
     Multiply both sides of the equation by:( x + 2)
      x ( x 2) + (8 ÷ (4 x × 2))( x 2)( x + 2) = x ( x + 2) + 2( x + 2)
    Remove a bracket on the left of the equation:
      x x x × 2 + (8 ÷ (4 x × 2))( x 2)( x + 2) = x ( x + 2) + 2( x + 2)
    Remove a bracket on the right of the equation::
      x x x × 2 + (8 ÷ (4 x × 2))( x 2)( x + 2) = x x + x × 2 + 2( x + 2)
    Remove a bracket on the left of the equation:
      x x 2 x + 8 ÷ (4 x × 2) × ( x 2)( x + 2) = x x + 2 x + 2( x + 2)
    Remove a bracket on the right of the equation::
      x x 2 x + 8 ÷ (4 x × 2) × ( x 2)( x + 2) = x x + 2 x + 2 x + 2 × 2
    The equation is reduced to :
      x x 2 x + 8 ÷ (4 x × 2) × ( x 2)( x + 2) = x x + 2 x + 2 x + 4
    The equation is reduced to :
      x x 2 x + 8 ÷ (4 x × 2) × ( x 2)( x + 2) = x x + 4 x + 4
     Multiply both sides of the equation by:(4 x × 2)
      x x (4 x × 2)2 x (4 x × 2) + 8( x 2)( x + 2) = x x (4 x × 2) + 4 x (4 x × 2) + 4(4 x × 2)
    Remove a bracket on the left of the equation:
      x x × 4 x x x × 22 x (4 x × 2) + 8( x 2) = x x (4 x × 2) + 4 x (4 x × 2) + 4(4 x × 2)
    Remove a bracket on the right of the equation::
      x x × 4 x x x × 22 x (4 x × 2) + 8( x 2) = x x × 4 x x x × 2 + 4 x (4 x × 2) + 4(4 x × 2)
    Remove a bracket on the left of the equation:
      x x × 4 x x x × 22 x × 4 + 2 x = x x × 4 x x x × 2 + 4 x (4 x × 2) + 4(4 x × 2)
    Remove a bracket on the right of the equation::
      x x × 4 x x x × 22 x × 4 + 2 x = x x × 4 x x x × 2 + 4 x × 44 x
    The equation is reduced to :
      x x × 4 x x x × 28 x + 4 x x = x x × 4 x x x × 2 + 16 x 8 x x
    Remove a bracket on the left of the equation:
      x x × 4 x x x × 28 x + 4 x x = x x × 4 x x x × 2 + 16 x 8 x x
    Remove a bracket on the right of the equation::
      x x × 4 x x x × 28 x + 4 x x = x x × 4 x x x × 2 + 16 x 8 x x
    The equation is reduced to :
      x x × 4 x x x × 28 x + 4 x x = x x × 4 x x x × 2 + 16 x 8 x x
    The equation is reduced to :
      x x × 4 x x x × 28 x + 4 x x = x x × 4 x x x × 2 + 8 x 8 x x
    Remove a bracket on the left of the equation:
      x x × 4 x x x × 28 x + 4 x x = x x × 4 x x x × 2 + 8 x 8 x x
    The equation is reduced to :
      x x × 4 x x x × 28 x + 4 x x = x x × 4 x x x × 2 + 8 x 8 x x

    the solutions is:
        x1=-
6
5
    
    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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