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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 (15+2x)(20+2x) = 246+20×15 .
    Question type: Equation
    Solution:Original question:
     (15 + 2 x )(20 + 2 x ) = 246 + 20 × 15
    Remove the bracket on the left of the equation:
     Left side of the equation = 15(20 + 2 x ) + 2 x (20 + 2 x )
                                             = 15 × 20 + 15 × 2 x + 2 x (20 + 2 x )
                                             = 300 + 30 x + 2 x (20 + 2 x )
                                             = 300 + 30 x + 2 x × 20 + 2 x × 2 x
                                             = 300 + 30 x + 40 x + 4 x x
                                             = 300 + 70 x + 4 x x
    The equation is transformed into :
     300 + 70 x + 4 x x = 246 + 20 × 15
     Right side of the equation = 246 + 300
                                               = 546
    The equation is transformed into :
     300 + 70 x + 4 x x = 546

    After the equation is converted into a general formula, it is converted into:
    ( 2x + 41 )( x - 3 )=0
    From
        2x + 41 = 0
        x - 3 = 0

    it is concluded that::
        x1=-
41
2
        x2=3
    
    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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