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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 40*(12+x)-40*17+x((13-x)*(-12-x)+17*8)-5((13-x)*(-8)+64) = 0 .
    Question type: Equation
    Solution:Original question:
     40(12 + x )40 × 17 + x ((13 x )( - 12 x ) + 17 × 8)5((13 x )( - 8) + 64) = 0
     Left side of the equation = 40(12 + x )680 + x ((13 x )( - 12 x ) + 17 × 8)5((13 x )( - 8) + 64)
    The equation is transformed into :
     40(12 + x )680 + x ((13 x )( - 12 x ) + 17 × 8)5((13 x )( - 8) + 64) = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = 40 × 12 + 40 x 680 + x ((13 x )( - 12 x ) + 17 × 8)5((13 x )( - 8) + 64)
                                             = 480 + 40 x 680 + x ((13 x )( - 12 x ) + 17 × 8)5((13 x )( - 8) + 64)
                                             = - 200 + 40 x + x ((13 x )( - 12 x ) + 17 × 8)5((13 x )( - 8) + 64)
                                             = - 200 + 40 x + x (13 x )( - 12 x ) + x × 17 × 85((13 x )( - 8) + 64)
                                             = - 200 + 40 x + x (13 x )( - 12 x ) + x × 1365((13 x )( - 8) + 64)
                                             = - 200 + 176 x + x (13 x )( - 12 x )5((13 x )( - 8) + 64)
                                             = - 200 + 176 x + x × 13( - 12 x ) x x ( - 12 x )5((13 x )( - 8) + 64)
                                             = - 200 + 176 x x × 13 × 12 x × 13 x x x ( - 12 x )
                                             = - 200 + 176 x x × 156 x × 13 x x x ( - 12 x )5
                                             = - 200 + 20 x x × 13 x x x ( - 12 x )5((13 x )( - 8) + 64)
                                             = - 200 + 20 x x × 13 x + x x × 12 + x x x
                                             = - 200 + 20 x x × 13 x + x x × 12 + x x x
                                             = - 200 + 20 x x × 13 x + x x × 12 + x x x
                                             = - 520 + 20 x x × 13 x + x x × 12 + x x x
                                             = - 520 + 20 x x × 13 x + x x × 12 + x x x
                                             = - 520 + 20 x x × 13 x + x x × 12 + x x x
                                             = - 520 + 20 x x × 13 x + x x × 12 + x x x
                                             = - 520 + 20 x x × 13 x + x x × 12 + x x x
                                             = - 0 + 20 x x × 13 x + x x × 12 + x x x
                                             = - 0 + 20 x x × 13 x + x x × 12 + x x x
                                             = - 0 + 20 x x × 13 x + x x × 12 + x x x
                                             = - 020 x x × 13 x + x x × 12 + x x x
    The equation is transformed into :
      - 020 x x × 13 x + x x × 12 + x x x = 0
    The equation can be reduced to :
      - 20 x x × 13 x + x x × 12 + x x x = 0

    
        x≈5.683905 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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