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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 (X+1)*(x+2)*(x+4)+(x+2)*(x+4)*x+(x+1)*(x+4)*x = x*(x+1)*(x+2) .
    Question type: Equation
    Solution:Original question:
     ( X + 1)( X + 2)( X + 4) + ( X + 2)( X + 4) X + ( X + 1)( X + 4) X = X ( X + 1)( X + 2)
    Remove the bracket on the left of the equation:
     Left side of the equation = X ( X + 2)( X + 4) + 1( X + 2)( X + 4) + ( X + 2)( X + 4) X + ( X + 1)( X + 4) X
                                             = X X ( X + 4) + X × 2( X + 4) + 1( X + 2)( X + 4) + ( X + 2)( X + 4) X
                                             = X X X + X X × 4 + X × 2( X + 4) + 1( X + 2)( X + 4)
                                             = X X X + X X × 4 + X × 2 X + X × 2 × 4
                                             = X X X + X X × 4 + X × 2 X + X × 8 + 1
                                             = X X X + X X × 4 + X × 2 X + 8 X + 1
                                             = X X X + X X × 4 + X × 2 X + 8 X + 1
                                             = X X X + X X × 4 + X × 2 X + 8 X + 1
                                             = X X X + X X × 4 + X × 2 X + 8 X + 1
                                             = X X X + X X × 4 + X × 2 X + 12 X + 1
                                             = X X X + X X × 4 + X × 2 X + 12 X + 1
                                             = X X X + X X × 4 + X × 2 X + 12 X + 1
                                             = X X X + X X × 4 + X × 2 X + 14 X + 1
                                             = X X X + X X × 4 + X × 2 X + 14 X + 1
                                             = X X X + X X × 4 + X × 2 X + 14 X + 1
                                             = X X X + X X × 4 + X × 2 X + 14 X + 1
                                             = X X X + X X × 4 + X × 2 X + 14 X + 1
                                             = X X X + X X × 4 + X × 2 X + 22 X + 1
                                             = X X X + X X × 4 + X × 2 X + 22 X + 1
                                             = X X X + X X × 4 + X × 2 X + 22 X + 1
                                             = X X X + X X × 4 + X × 2 X + 22 X + 1
                                             = X X X + X X × 4 + X × 2 X + 22 X + 1
                                             = X X X + X X × 4 + X × 2 X + 26 X + 1
    The equation is transformed into :
      X X X + X X × 4 + X × 2 X + 26 X + 1 = X ( X + 1)( X + 2)
    Remove the bracket on the right of the equation:
     Right side of the equation = X X ( X + 2) + X × 1( X + 2)

    The solution of the equation:
        X1≈-5.423336 , keep 6 decimal places
        X2≈-1.621924 , keep 6 decimal places
        X3≈-0.454740 , 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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