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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+1)(s+4)s = (s+2)((s+1)(s+4)+s(s+4)+s(s+1)) .
    Question type: Equation
    Solution:Original question:
     ( s + 1)( s + 4) s = ( s + 2)(( s + 1)( s + 4) + s ( s + 4) + s ( s + 1))
    Remove the bracket on the left of the equation:
     Left side of the equation = s ( s + 4) s + 1( s + 4) s
                                             = s s s + s × 4 s + 1( s + 4) s
                                             = s s s + s × 4 s + 1 s s + 1 × 4 s
                                             = s s s + s × 4 s + 1 s s + 4 s
    The equation is transformed into :
      s s s + s × 4 s + 1 s s + 4 s = ( s + 2)(( s + 1)( s + 4) + s ( s + 4) + s ( s + 1))
    Remove the bracket on the right of the equation:
     Right side of the equation = s (( s + 1)( s + 4) + s ( s + 4) + s ( s + 1)) + 2(( s + 1)( s + 4) + s ( s + 4) + s ( s + 1))
                                               = s ( s + 1)( s + 4) + s s ( s + 4) + s s ( s + 1) + 2(( s + 1)( s + 4) + s ( s + 4) + s ( s + 1))
                                               = s s ( s + 4) + s × 1( s + 4) + s s ( s + 4) + s s ( s + 1)
                                               = s s s + s s × 4 + s × 1( s + 4) + s s ( s + 4)
                                               = s s s + s s × 4 + s × 1 s + s × 1 × 4
                                               = s s s + s s × 4 + s × 1 s + s × 4 + s
                                               = s s s + s s × 4 + s × 1 s + 4 s + s
                                               = s s s + s s × 4 + s × 1 s + 4 s + s
                                               = s s s + s s × 4 + s × 1 s + 4 s + s
                                               = s s s + s s × 4 + s × 1 s + 4 s + s
                                               = s s s + s s × 4 + s × 1 s + 4 s + s
                                               = s s s + s s × 4 + s × 1 s + 4 s + s
                                               = s s s + s s × 4 + s × 1 s + 4 s + s
                                               = s s s + s s × 4 + s × 1 s + 12 s + s
                                               = s s s + s s × 4 + s × 1 s + 12 s + s
                                               = s s s + s s × 4 + s × 1 s + 12 s + s
                                               = s s s + s s × 4 + s × 1 s + 14 s + s
                                               = s s s + s s × 4 + s × 1 s + 14 s + s
                                               = s s s + s s × 4 + s × 1 s + 14 s + s
                                               = s s s + s s × 4 + s × 1 s + 22 s + s

    the solutions is:
        s≈-0.549460 , keep 6 decimal places    
    There are 1 solution(s).

解方程的详细方法请参阅：《方程的解法》



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