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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-360)*(1120-2x) = 20000 .
    Question type: Equation
    Solution:Original question:
     ( x - 360)(1120 - 2 x ) = 20000
    Remove the bracket on the left of the equation:
     Left side of the equation = x (1120 - 2 x ) - 360(1120 - 2 x )
                                             = x × 1120 - x × 2 x - 360(1120 - 2 x )
                                             = 1120 x - x × 2 x - 360 × 1120 + 360 × 2 x
                                             = 1120 x - x × 2 x - 403200 + 720 x
                                             = 1840 x - x × 2 x - 403200
    The equation is transformed into :
     1840 x - x × 2 x - 403200 = 20000

    After the equation is converted into a general formula, it is converted into:
    ( 1x - 460 )( 1x - 460 )=0
    From
        1x - 460 = 0
        1x - 460 = 0

    it is concluded that::
        x1=460
        x2=460
    
    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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