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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 (6-x)(3-x)(3-x) = 0 .
    Question type: Equation
    Solution:Original question:
     (6 x )(3 x )(3 x ) = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = 6(3 x )(3 x ) x (3 x )(3 x )
                                             = 6 × 3(3 x )6 x (3 x ) x (3 x )(3 x )
                                             = 18(3 x )6 x (3 x ) x (3 x )(3 x )
                                             = 18 × 318 x 6 x (3 x ) x (3 x )(3 x )
                                             = 5418 x 6 x (3 x ) x (3 x )(3 x )
                                             = 5418 x 6 x × 3 + 6 x x x (3 x )(3 x )
                                             = 5418 x 18 x + 6 x x x (3 x )(3 x )
                                             = 5436 x + 6 x x x (3 x )(3 x )
                                             = 5436 x + 6 x x x × 3(3 x ) + x x (3 x )
                                             = 5436 x + 6 x x x × 3 × 3 + x × 3 x
                                             = 5436 x + 6 x x x × 9 + x × 3 x + x
                                             = 5445 x + 6 x x + x × 3 x + x x (3 x )
                                             = 5445 x + 6 x x + x × 3 x + x x × 3
    The equation is transformed into :
     5445 x + 6 x x + x × 3 x + x x × 3 = 0

    After the equation is converted into a general formula, it is converted into:
    ( x - 3 )( x - 3 )( x - 6 )=0
    From
        x - 3 = 0
        x - 3 = 0
        x - 6 = 0

    it is concluded that::
        x1=3
        x2=3
        x3=6
    
    There are 3 solution(s).


解程的详细方法请参阅:《方程的解法》



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