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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 3(X-2)-12(X-2)+(X+1)((X-3)(X-2)+4(X-2)) = 0 .
    Question type: Equation
    Solution:Original question:
     3( X 2)12( X 2) + ( X + 1)(( X 3)( X 2) + 4( X 2)) = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = 3 X 3 × 212( X 2) + ( X + 1)(( X 3)( X 2) + 4( X 2))
                                             = 3 X 612( X 2) + ( X + 1)(( X 3)( X 2) + 4( X 2))
                                             = 3 X 612 X + 12 × 2 + ( X + 1)(( X 3)( X 2) + 4( X 2))
                                             = 3 X 612 X + 24 + ( X + 1)(( X 3)( X 2) + 4( X 2))
                                             = - 9 X + 18 + ( X + 1)(( X 3)( X 2) + 4( X 2))
                                             = - 9 X + 18 + X (( X 3)( X 2) + 4( X 2)) + 1(( X 3)( X 2) + 4( X 2))
                                             = - 9 X + 18 + X ( X 3)( X 2) + X × 4( X 2) + 1(( X 3)( X 2) + 4( X 2))
                                             = - 9 X + 18 + X X ( X 2) X × 3( X 2) + X × 4( X 2)
                                             = - 9 X + 18 + X X X X X × 2 X × 3( X 2)
                                             = - 9 X + 18 + X X X X X × 2 X × 3 X
                                             = - 9 X + 18 + X X X X X × 2 X × 3 X
                                             = - 3 X + 18 + X X X X X × 2 X × 3 X
                                             = - 3 X + 18 + X X X X X × 2 X × 3 X
                                             = - 3 X + 18 + X X X X X × 2 X × 3 X
                                             = - 11 X + 18 + X X X X X × 2 X × 3 X
                                             = - 11 X + 18 + X X X X X × 2 X × 3 X
                                             = - 11 X + 18 + X X X X X × 2 X × 3 X
                                             = - 11 X + 18 + X X X X X × 2 X × 3 X
                                             = - 11 X + 18 + X X X X X × 2 X × 3 X
                                             = - 11 X + 18 + X X X X X × 2 X × 3 X
                                             = - 11 X + 18 + X X X X X × 2 X × 3 X
                                             = - 13 X + 18 + X X X X X × 2 X × 3 X
                                             = - 13 X + 18 + X X X X X × 2 X × 3 X
                                             = - 13 X + 18 + X X X X X × 2 X × 3 X
                                             = - 16 X + 24 + X X X X X × 2 X × 3 X

    After the equation is converted into a general formula, it is converted into:
    ( X + 4 )( X - 2 )( X - 2 )=0
    From
        X + 4 = 0
        X - 2 = 0
        X - 2 = 0

    it is concluded that::
        X1=-4
        X2=2
        X3=2
    
    There are 3 solution(s).


解程的详细方法请参阅:《方程的解法》



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