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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/S+1/(S+5)+1/(S+6)+1/(S*S+2S+2) = 0 .
    Question type: Equation
    Solution:Original question:
     1 ÷ S + 1 ÷ ( S + 5) + 1 ÷ ( S + 6) + 1 ÷ ( S S + 2 S + 2) = 0
     Multiply both sides of the equation by: S
     1 + 1 ÷ ( S + 5) × S + 1 ÷ ( S + 6) × S + 1 ÷ ( S S + 2 S + 2) × S = 0
     Multiply both sides of the equation by:( S + 5)
     1( S + 5) + 1 S + 1 ÷ ( S + 6) × S ( S + 5) + 1 ÷ ( S S + 2 S + 2) × S ( S + 5) = 0
    Remove a bracket on the left of the equation:
     1 S + 1 × 5 + 1 S + 1 ÷ ( S + 6) × S ( S + 5) + 1 ÷ ( S S + 2 S + 2) = 0
    The equation is reduced to :
     1 S + 5 + 1 S + 1 ÷ ( S + 6) × S ( S + 5) + 1 ÷ ( S S + 2 S + 2) × S = 0
    The equation is reduced to :
     2 S + 5 + 1 ÷ ( S + 6) × S ( S + 5) + 1 ÷ ( S S + 2 S + 2) × S ( S + 5) = 0
     Multiply both sides of the equation by:( S + 6)
     2 S ( S + 6) + 5( S + 6) + 1 S ( S + 5) + 1 ÷ ( S S + 2 S + 2) × S ( S + 5) = 0
    Remove a bracket on the left of the equation:
     2 S S + 2 S × 6 + 5( S + 6) + 1 S ( S + 5) + 1 = 0
    The equation is reduced to :
     2 S S + 12 S + 5( S + 6) + 1 S ( S + 5) + 1 ÷ ( S S + 2 S + 2) = 0
     Multiply both sides of the equation by:( S S + 2 S + 2)
     2 S S ( S S + 2 S + 2) + 12 S ( S S + 2 S + 2) + 5( S + 6)( S S + 2 S + 2) + 1 S = 0
    Remove a bracket on the left of the equation:
     2 S S S S + 2 S S × 2 S + 2 S = 0
    The equation is reduced to :
     2 S S S S + 4 S S S + 4 S S = 0
    Remove a bracket on the left of the equation:
     2 S S S S + 4 S S S + 4 S S = 0
    The equation is reduced to :
     2 S S S S + 4 S S S + 4 S S = 0
    Remove a bracket on the left of the equation:
     2 S S S S + 4 S S S + 4 S S = 0
    The equation is reduced to :
     2 S S S S + 4 S S S + 4 S S = 0
    Remove a bracket on the left of the equation:
     2 S S S S + 4 S S S + 4 S S = 0
    The equation is reduced to :
     2 S S S S + 4 S S S + 4 S S = 0
    The equation is reduced to :
     2 S S S S + 4 S S S + 4 S S = 0
    Remove a bracket on the left of the equation:
     2 S S S S + 4 S S S + 4 S S = 0
    The equation is reduced to :
     2 S S S S + 4 S S S + 4 S S = 0
    The equation is reduced to :
     2 S S S S + 4 S S S + 4 S S = 0

    The solution of the equation:
        S1≈-5.516798 , keep 6 decimal places
        S2≈-0.735733 , 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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