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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 (66+x)*3355-1700*(59+x) = 30*(66+x)(59+x) .
    Question type: Equation
    Solution:Original question:
     (66 + x ) × 33551700(59 + x ) = 30(66 + x )(59 + x )
    Remove the bracket on the left of the equation:
     Left side of the equation = 66 × 3355 + x × 33551700(59 + x )
                                             = 221430 + x × 33551700(59 + x )
                                             = 221430 + 3355 x 1700 × 591700 x
                                             = 221430 + 3355 x 1003001700 x
                                             = 121130 + 1655 x
    The equation is transformed into :
     121130 + 1655 x = 30(66 + x )(59 + x )
    Remove the bracket on the right of the equation:
     Right side of the equation = 30 × 66(59 + x ) + 30 x (59 + x )
                                               = 1980(59 + x ) + 30 x (59 + x )
                                               = 1980 × 59 + 1980 x + 30 x (59 + x )
                                               = 116820 + 1980 x + 30 x (59 + x )
                                               = 116820 + 1980 x + 30 x × 59 + 30 x x
                                               = 116820 + 1980 x + 1770 x + 30 x x
                                               = 116820 + 3750 x + 30 x x
    The equation is transformed into :
     121130 + 1655 x = 116820 + 3750 x + 30 x x

    After the equation is converted into a general formula, there is a common factor:
    ( x - 2 )
    From
        x - 2 = 0

    it is concluded that::
        x1=2

    Solutions that cannot be obtained by factorization:
        x2≈-71.833333 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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