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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 s(s+2)(s+3) = (s+5)((s+2)(s+3)+s(s+2)+s(s+3)) .
    Question type: Equation
    Solution:Original question:
      s ( s + 2)( s + 3) = ( s + 5)(( s + 2)( s + 3) + s ( s + 2) + s ( s + 3))
    Remove the bracket on the left of the equation:
     Left side of the equation = s s ( s + 3) + s × 2( s + 3)
                                             = s s s + s s × 3 + s × 2( s + 3)
                                             = s s s + s s × 3 + s × 2 s + s × 2 × 3
                                             = s s s + s s × 3 + s × 2 s + s × 6
    The equation is transformed into :
      s s s + s s × 3 + s × 2 s + 6 s = ( s + 5)(( s + 2)( s + 3) + s ( s + 2) + s ( s + 3))
    Remove the bracket on the right of the equation:
     Right side of the equation = s (( s + 2)( s + 3) + s ( s + 2) + s ( s + 3)) + 5(( s + 2)( s + 3) + s ( s + 2) + s ( s + 3))
                                               = s ( s + 2)( s + 3) + s s ( s + 2) + s s ( s + 3) + 5(( s + 2)( s + 3) + s ( s + 2) + s ( s + 3))
                                               = s s ( s + 3) + s × 2( s + 3) + s s ( s + 2) + s s ( s + 3)
                                               = s s s + s s × 3 + s × 2( s + 3) + s s ( s + 2)
                                               = s s s + s s × 3 + s × 2 s + s × 2 × 3
                                               = s s s + s s × 3 + s × 2 s + s × 6 + s
                                               = s s s + s s × 3 + s × 2 s + 6 s + s
                                               = s s s + s s × 3 + s × 2 s + 6 s + s
                                               = s s s + s s × 3 + s × 2 s + 6 s + s
                                               = s s s + s s × 3 + s × 2 s + 6 s + s
                                               = s s s + s s × 3 + s × 2 s + 6 s + s
                                               = s s s + s s × 3 + s × 2 s + 6 s + s
                                               = s s s + s s × 3 + s × 2 s + 6 s + s
                                               = s s s + s s × 3 + s × 2 s + 21 s + s
                                               = s s s + s s × 3 + s × 2 s + 21 s + s
                                               = s s s + s s × 3 + s × 2 s + 21 s + s
                                               = s s s + s s × 3 + s × 2 s + 31 s + s
                                               = s s s + s s × 3 + s × 2 s + 31 s + s
                                               = s s s + s s × 3 + s × 2 s + 31 s + s
                                               = s s s + s s × 3 + s × 2 s + 41 s + s

    The solution of the equation:
        s1≈-6.517113 , keep 6 decimal places
        s2≈-2.596424 , keep 6 decimal places
        s3≈-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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