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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 2200*(1+4x)*50*(1+x)+200*650 = 240000*(1+7/2x) .
    Question type: Equation
    Solution:Original question:
     2200(1 + 4 x ) × 50(1 + x ) + 200 × 650 = 240000(1 + 7 ÷ 2 × x )
     Left side of the equation = 110000(1 + 4 x )(1 + x ) + 130000
    The equation is transformed into :
     110000(1 + 4 x )(1 + x ) + 130000 = 240000(1 + 7 ÷ 2 × x )
    Remove the bracket on the left of the equation:
     Left side of the equation = 110000 × 1(1 + x ) + 110000 × 4 x (1 + x ) + 130000
                                             = 110000(1 + x ) + 440000 x (1 + x ) + 130000
                                             = 110000 × 1 + 110000 x + 440000 x (1 + x ) + 130000
                                             = 110000 + 110000 x + 440000 x (1 + x ) + 130000
                                             = 240000 + 110000 x + 440000 x (1 + x )
                                             = 240000 + 110000 x + 440000 x × 1 + 440000 x x
                                             = 240000 + 110000 x + 440000 x + 440000 x x
                                             = 240000 + 550000 x + 440000 x x
    The equation is transformed into :
     240000 + 550000 x + 440000 x x = 240000(1 + 7 ÷ 2 × x )
    Remove the bracket on the right of the equation:
     Right side of the equation = 240000 × 1 + 240000 × 7 ÷ 2 × x
                                               = 240000 + 840000 x
    The equation is transformed into :
     240000 + 550000 x + 440000 x x = 240000 + 840000 x

    After the equation is converted into a general formula, it is converted into:
    ( x - 0 )( 44x - 29 )=0
    From
        x - 0 = 0
        44x - 29 = 0

    it is concluded that::
        x1=0
        x2=
29
44
    
    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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