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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 1/(x+4) = 2/x+1/(x+6) .
    Question type: Equation
    Solution:Original question:
     1 ÷ ( x + 4) = 2 ÷ x + 1 ÷ ( x + 6)
     Multiply both sides of the equation by:( x + 4) ,   x
     1 x = 2( x + 4) + 1 ÷ ( x + 6) × ( x + 4) x
    Remove a bracket on the right of the equation::
     1 x = 2 x + 2 × 4 + 1 ÷ ( x + 6) × ( x + 4) x
    The equation is reduced to :
     1 x = 2 x + 8 + 1 ÷ ( x + 6) × ( x + 4) x
     Multiply both sides of the equation by:( x + 6)
     1 x ( x + 6) = 2 x ( x + 6) + 8( x + 6) + 1( x + 4) x
    Remove a bracket on the left of the equation:
     1 x x + 1 x × 6 = 2 x ( x + 6) + 8( x + 6) + 1( x + 4) x
    Remove a bracket on the right of the equation::
     1 x x + 1 x × 6 = 2 x x + 2 x × 6 + 8( x + 6) + 1( x + 4) x
    The equation is reduced to :
     1 x x + 6 x = 2 x x + 12 x + 8( x + 6) + 1( x + 4) x
    Remove a bracket on the right of the equation::
     1 x x + 6 x = 2 x x + 12 x + 8 x + 8 × 6 + 1( x + 4) x
    The equation is reduced to :
     1 x x + 6 x = 2 x x + 12 x + 8 x + 48 + 1( x + 4) x
    The equation is reduced to :
     1 x x + 6 x = 2 x x + 20 x + 48 + 1( x + 4) x
    Remove a bracket on the right of the equation::
     1 x x + 6 x = 2 x x + 20 x + 48 + 1 x x + 1 × 4 x
    The equation is reduced to :
     1 x x + 6 x = 2 x x + 20 x + 48 + 1 x x + 4 x
    The equation is reduced to :
     1 x x + 6 x = 2 x x + 24 x + 48 + 1 x x
    
    There are 0 solution(s).


解程的详细方法请参阅:《方程的解法》



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