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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+1)+1/(x+4) = 1/(x+2) .
    Question type: Equation
    Solution:Original question:
     1 ÷ ( x + 1) + 1 ÷ ( x + 4) = 1 ÷ ( x + 2)
     Multiply both sides of the equation by:( x + 1) ,  ( x + 2)
     1( x + 2) + 1 ÷ ( x + 4) × ( x + 1)( x + 2) = 1( x + 1)
    Remove a bracket on the left of the equation::
     1 x + 1 × 2 + 1 ÷ ( x + 4) × ( x + 1)( x + 2) = 1( x + 1)
    Remove a bracket on the right of the equation::
     1 x + 1 × 2 + 1 ÷ ( x + 4) × ( x + 1)( x + 2) = 1 x + 1 × 1
    The equation is reduced to :
     1 x + 2 + 1 ÷ ( x + 4) × ( x + 1)( x + 2) = 1 x + 1
     Multiply both sides of the equation by:( x + 4)
     1 x ( x + 4) + 2( x + 4) + 1( x + 1)( x + 2) = 1 x ( x + 4) + 1( x + 4)
    Remove a bracket on the left of the equation:
     1 x x + 1 x × 4 + 2( x + 4) + 1( x + 1)( x + 2) = 1 x ( x + 4) + 1( x + 4)
    Remove a bracket on the right of the equation::
     1 x x + 1 x × 4 + 2( x + 4) + 1( x + 1)( x + 2) = 1 x x + 1 x × 4 + 1( x + 4)
    The equation is reduced to :
     1 x x + 4 x + 2( x + 4) + 1( x + 1)( x + 2) = 1 x x + 4 x + 1( x + 4)
    Remove a bracket on the left of the equation:
     1 x x + 4 x + 2 x + 2 × 4 + 1( x + 1)( x + 2) = 1 x x + 4 x + 1( x + 4)
    Remove a bracket on the right of the equation::
     1 x x + 4 x + 2 x + 2 × 4 + 1( x + 1)( x + 2) = 1 x x + 4 x + 1 x + 1 × 4
    The equation is reduced to :
     1 x x + 4 x + 2 x + 8 + 1( x + 1)( x + 2) = 1 x x + 4 x + 1 x + 4
    The equation is reduced to :
     1 x x + 6 x + 8 + 1( x + 1)( x + 2) = 1 x x + 5 x + 4
    Remove a bracket on the left of the equation:
     1 x x + 6 x + 8 + 1 x ( x + 2) + 1 × 1( x + 2) = 1 x x + 5 x + 4
    The equation is reduced to :
     1 x x + 6 x + 8 + 1 x ( x + 2) + 1( x + 2) = 1 x x + 5 x + 4
    Remove a bracket on the left of the equation:
     1 x x + 6 x + 8 + 1 x x + 1 x × 2 = 1 x x + 5 x + 4
    The equation is reduced to :
     1 x x + 6 x + 8 + 1 x x + 2 x + 1 = 1 x x + 5 x + 4
    The equation is reduced to :
     1 x x + 8 x + 8 + 1 x x + 1( x + 2) = 1 x x + 5 x + 4
    Remove a bracket on the left of the equation:
     1 x x + 8 x + 8 + 1 x x + 1 x + 1 = 1 x x + 5 x + 4
    The equation is reduced to :
     1 x x + 8 x + 8 + 1 x x + 1 x + 2 = 1 x x + 5 x + 4
    The equation is reduced to :
     1 x x + 9 x + 10 + 1 x x = 1 x x + 5 x + 4
    
    There are 0 solution(s).


解程的详细方法请参阅:《方程的解法》



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