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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/(d+6)+1/(d+8) = 0 .
    Question type: Equation
    Solution:Original question:
     1 ÷ d + 1 ÷ ( d + 6) + 1 ÷ ( d + 8) = 0
     Multiply both sides of the equation by: d
     1 + 1 ÷ ( d + 6) × d + 1 ÷ ( d + 8) × d = 0
     Multiply both sides of the equation by:( d + 6)
     1( d + 6) + 1 d + 1 ÷ ( d + 8) × d ( d + 6) = 0
    Remove a bracket on the left of the equation:
     1 d + 1 × 6 + 1 d + 1 ÷ ( d + 8) × d ( d + 6) = 0
    The equation is reduced to :
     1 d + 6 + 1 d + 1 ÷ ( d + 8) × d ( d + 6) = 0
    The equation is reduced to :
     2 d + 6 + 1 ÷ ( d + 8) × d ( d + 6) = 0
     Multiply both sides of the equation by:( d + 8)
     2 d ( d + 8) + 6( d + 8) + 1 d ( d + 6) = 0
    Remove a bracket on the left of the equation:
     2 d d + 2 d × 8 + 6( d + 8) + 1 d ( d + 6) = 0
    The equation is reduced to :
     2 d d + 16 d + 6( d + 8) + 1 d ( d + 6) = 0
    Remove a bracket on the left of the equation:
     2 d d + 16 d + 6 d + 6 × 8 + 1 d ( d + 6) = 0
    The equation is reduced to :
     2 d d + 16 d + 6 d + 48 + 1 d ( d + 6) = 0
    The equation is reduced to :
     2 d d + 22 d + 48 + 1 d ( d + 6) = 0
    Remove a bracket on the left of the equation:
     2 d d + 22 d + 48 + 1 d d + 1 d × 6 = 0
    The equation is reduced to :
     2 d d + 22 d + 48 + 1 d d + 6 d = 0
    The equation is reduced to :
     2 d d + 28 d + 48 + 1 d d = 0

    The solution of the equation:
        d1≈-7.070368 , keep 6 decimal places
        d2≈-2.262966 , 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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