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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+3)+1/(x+2)+1/x = 1/(x+5) .
    Question type: Equation
    Solution:Original question:
     1 ÷ ( x + 3) + 1 ÷ ( x + 2) + 1 ÷ x = 1 ÷ ( x + 5)
     Multiply both sides of the equation by:( x + 3) ,  ( x + 5)
     1( x + 5) + 1 ÷ ( x + 2) × ( x + 3)( x + 5) + 1 ÷ x × ( x + 3)( x + 5) = 1( x + 3)
    Remove a bracket on the left of the equation::
     1 x + 1 × 5 + 1 ÷ ( x + 2) × ( x + 3)( x + 5) + 1 ÷ x × ( x + 3)( x + 5) = 1( x + 3)
    Remove a bracket on the right of the equation::
     1 x + 1 × 5 + 1 ÷ ( x + 2) × ( x + 3)( x + 5) + 1 ÷ x × ( x + 3)( x + 5) = 1 x + 1 × 3
    The equation is reduced to :
     1 x + 5 + 1 ÷ ( x + 2) × ( x + 3)( x + 5) + 1 ÷ x × ( x + 3)( x + 5) = 1 x + 3
     Multiply both sides of the equation by:( x + 2)
     1 x ( x + 2) + 5( x + 2) + 1( x + 3)( x + 5) + 1 ÷ x × ( x + 3)( x + 5) = 1 x ( x + 2) + 3( x + 2)
    Remove a bracket on the left of the equation:
     1 x x + 1 x × 2 + 5( x + 2) + 1( x + 3)( x + 5) + 1 = 1 x ( x + 2) + 3( x + 2)
    Remove a bracket on the right of the equation::
     1 x x + 1 x × 2 + 5( x + 2) + 1( x + 3)( x + 5) + 1 = 1 x x + 1 x × 2 + 3( x + 2)
    The equation is reduced to :
     1 x x + 2 x + 5( x + 2) + 1( x + 3)( x + 5) + 1 ÷ x = 1 x x + 2 x + 3( x + 2)
     Multiply both sides of the equation by: x
     1 x x x + 2 x x + 5( x + 2) x + 1( x + 3) = 1 x x x + 2 x x + 3( x + 2) x
    Remove a bracket on the left of the equation:
     1 x x x + 2 x x + 5 x x + 5 × 2 = 1 x x x + 2 x x + 3( x + 2) x
    Remove a bracket on the right of the equation::
     1 x x x + 2 x x + 5 x x + 5 × 2 = 1 x x x + 2 x x + 3 x x + 3 × 2
    The equation is reduced to :
     1 x x x + 2 x x + 5 x x + 10 x = 1 x x x + 2 x x + 3 x x + 6 x
    Remove a bracket on the left of the equation:
     1 x x x + 2 x x + 5 x x + 10 x = 1 x x x + 2 x x + 3 x x + 6 x
    The equation is reduced to :
     1 x x x + 2 x x + 5 x x + 10 x = 1 x x x + 2 x x + 3 x x + 6 x
    Remove a bracket on the left of the equation:
     1 x x x + 2 x x + 5 x x + 10 x = 1 x x x + 2 x x + 3 x x + 6 x
    The equation is reduced to :
     1 x x x + 2 x x + 5 x x + 10 x = 1 x x x + 2 x x + 3 x x + 6 x
    Remove a bracket on the left of the equation:
     1 x x x + 2 x x + 5 x x + 10 x = 1 x x x + 2 x x + 3 x x + 6 x
    The equation is reduced to :
     1 x x x + 2 x x + 5 x x + 10 x = 1 x x x + 2 x x + 3 x x + 6 x
    The equation is reduced to :
     1 x x x + 2 x x + 5 x x + 25 x = 1 x x x + 2 x x + 3 x x + 6 x
    Remove a bracket on the left of the equation:
     1 x x x + 2 x x + 5 x x + 25 x = 1 x x x + 2 x x + 3 x x + 6 x
    The equation is reduced to :
     1 x x x + 2 x x + 5 x x + 25 x = 1 x x x + 2 x x + 3 x x + 6 x

    The solution of the equation:
        x1≈-6.517113 , keep 6 decimal places
        x2≈-2.596424 , keep 6 decimal places
        x3≈-0.886462 , keep 6 decimal places
    
    There are 3 solution(s).


解程的详细方法请参阅:《方程的解法》



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