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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 18×12-(18-2x)(12-2x) = 144 .
    Question type: Equation
    Solution:Original question:
     18 × 12(182 x )(122 x ) = 144
     Left side of the equation = 216(182 x )(122 x )
    The equation is transformed into :
     216(182 x )(122 x ) = 144
    Remove the bracket on the left of the equation:
     Left side of the equation = 21618(122 x ) + 2 x (122 x )
                                             = 21618 × 12 + 18 × 2 x + 2 x (122 x )
                                             = 216216 + 36 x + 2 x (122 x )
                                             = 0 + 36 x + 2 x (122 x )
                                             = 0 + 36 x + 2 x × 122 x × 2 x
                                             = 0 + 36 x + 24 x 4 x x
                                             = 0 + 60 x 4 x x
    The equation is transformed into :
     0 + 60 x 4 x x = 144

    After the equation is converted into a general formula, it is converted into:
    ( x - 3 )( x - 12 )=0
    From
        x - 3 = 0
        x - 12 = 0

    it is concluded that::
        x1=3
        x2=12
    
    There are 2 solution(s).


解一元二次方程的详细方法请参阅:《一元二次方程的解法》



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