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