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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/d+1/(1+d)+1/(5+d) = 0 .
    Question type: Equation
    Solution:Original question:
     1 ÷ d + 1 ÷ (1 + d ) + 1 ÷ (5 + d ) = 0
     Multiply both sides of the equation by: d
     1 + 1 ÷ (1 + d ) × d + 1 ÷ (5 + d ) × d = 0
     Multiply both sides of the equation by:(1 + d )
     1(1 + d ) + 1 d + 1 ÷ (5 + d ) × d (1 + d ) = 0
    Remove a bracket on the left of the equation:
     1 × 1 + 1 d + 1 d + 1 ÷ (5 + d ) × d (1 + d ) = 0
    The equation is reduced to :
     1 + 1 d + 1 d + 1 ÷ (5 + d ) × d (1 + d ) = 0
    The equation is reduced to :
     1 + 2 d + 1 ÷ (5 + d ) × d (1 + d ) = 0
     Multiply both sides of the equation by:(5 + d )
     1(5 + d ) + 2 d (5 + d ) + 1 d (1 + d ) = 0
    Remove a bracket on the left of the equation:
     1 × 5 + 1 d + 2 d (5 + d ) + 1 d (1 + d ) = 0
    The equation is reduced to :
     5 + 1 d + 2 d (5 + d ) + 1 d (1 + d ) = 0
    Remove a bracket on the left of the equation:
     5 + 1 d + 2 d × 5 + 2 d d + 1 d (1 + d ) = 0
    The equation is reduced to :
     5 + 1 d + 10 d + 2 d d + 1 d (1 + d ) = 0
    The equation is reduced to :
     5 + 11 d + 2 d d + 1 d (1 + d ) = 0
    Remove a bracket on the left of the equation:
     5 + 11 d + 2 d d + 1 d × 1 + 1 d d = 0
    The equation is reduced to :
     5 + 11 d + 2 d d + 1 d + 1 d d = 0
    The equation is reduced to :
     5 + 12 d + 2 d d + 1 d d = 0

    The solution of the equation:
        d1≈-3.527525 , keep 6 decimal places
        d2≈-0.472475 , 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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