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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+2)-1/(d+5)+1/(d+3) = 0 .
    Question type: Equation
    Solution:Original question:
     1 ÷ d + 1 ÷ ( d + 2)1 ÷ ( d + 5) + 1 ÷ ( d + 3) = 0
     Multiply both sides of the equation by: d
     1 + 1 ÷ ( d + 2) × d 1 ÷ ( d + 5) × d + 1 ÷ ( d + 3) × d = 0
     Multiply both sides of the equation by:( d + 2)
     1( d + 2) + 1 d 1 ÷ ( d + 5) × d ( d + 2) + 1 ÷ ( d + 3) × d ( d + 2) = 0
    Remove a bracket on the left of the equation:
     1 d + 1 × 2 + 1 d 1 ÷ ( d + 5) × d ( d + 2) + 1 ÷ ( d + 3) = 0
    The equation is reduced to :
     1 d + 2 + 1 d 1 ÷ ( d + 5) × d ( d + 2) + 1 ÷ ( d + 3) × d = 0
    The equation is reduced to :
     2 d + 21 ÷ ( d + 5) × d ( d + 2) + 1 ÷ ( d + 3) × d ( d + 2) = 0
     Multiply both sides of the equation by:( d + 5)
     2 d ( d + 5) + 2( d + 5)1 d ( d + 2) + 1 ÷ ( d + 3) × d ( d + 2) = 0
    Remove a bracket on the left of the equation:
     2 d d + 2 d × 5 + 2( d + 5)1 d ( d + 2) + 1 = 0
    The equation is reduced to :
     2 d d + 10 d + 2( d + 5)1 d ( d + 2) + 1 ÷ ( d + 3) = 0
     Multiply both sides of the equation by:( d + 3)
     2 d d ( d + 3) + 10 d ( d + 3) + 2( d + 5)( d + 3)1 d = 0
    Remove a bracket on the left of the equation:
     2 d d d + 2 d d × 3 + 10 d ( d + 3) + 2 = 0
    The equation is reduced to :
     2 d d d + 6 d d + 10 d ( d + 3) + 2( d + 5) = 0
    Remove a bracket on the left of the equation:
     2 d d d + 6 d d + 10 d d + 10 d = 0
    The equation is reduced to :
     2 d d d + 6 d d + 10 d d + 30 d = 0
    Remove a bracket on the left of the equation:
     2 d d d + 6 d d + 10 d d + 30 d = 0
    The equation is reduced to :
     2 d d d + 6 d d + 10 d d + 30 d = 0
    Remove a bracket on the left of the equation:
     2 d d d + 6 d d + 10 d d + 30 d = 0
    The equation is reduced to :
     2 d d d + 6 d d + 10 d d + 30 d = 0
    The equation is reduced to :
     2 d d d + 6 d d + 10 d d + 36 d = 0
    Remove a bracket on the left of the equation:
     2 d d d + 6 d d + 10 d d + 36 d = 0
    The equation is reduced to :
     2 d d d + 6 d d + 10 d d + 36 d = 0
    The equation is reduced to :
     2 d d d + 6 d d + 10 d d + 46 d = 0

    The solution of the equation:
        d1≈-6.517113 , keep 6 decimal places
        d2≈-2.596424 , keep 6 decimal places
        d3≈-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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