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

    The solution of the equation:
        x1≈-3.786300 , keep 6 decimal places
        x2≈-0.880367 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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