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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)*(22+x)*(22+x)-(30+2x)*(37+3x)*(7+x) = 0 .
    Question type: Equation
    Solution:Original question:
     (15 + 2 x )(22 + x )(22 + x )(30 + 2 x )(37 + 3 x )(7 + x ) = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = 15(22 + x )(22 + x ) + 2 x (22 + x )(22 + x )(30 + 2 x )(37 + 3 x )(7 + x )
                                             = 15 × 22(22 + x ) + 15 x (22 + x ) + 2 x (22 + x )(22 + x )(30 + 2 x )(37 + 3 x )
                                             = 330(22 + x ) + 15 x (22 + x ) + 2 x (22 + x )(22 + x )(30 + 2 x )(37 + 3 x )(7 + x )
                                             = 330 × 22 + 330 x + 15 x (22 + x ) + 2 x (22 + x )(22 + x )(30 + 2 x )
                                             = 7260 + 330 x + 15 x (22 + x ) + 2 x (22 + x )(22 + x )(30 + 2 x )(37 + 3 x )
                                             = 7260 + 330 x + 15 x × 22 + 15 x x + 2 x (22 + x )
                                             = 7260 + 330 x + 330 x + 15 x x + 2 x (22 + x )(22 + x )
                                             = 7260 + 660 x + 15 x x + 2 x (22 + x )(22 + x )(30 + 2 x )(37 + 3 x )
                                             = 7260 + 660 x + 15 x x + 2 x × 22(22 + x ) + 2 x
                                             = 7260 + 660 x + 15 x x + 44 x (22 + x ) + 2 x x
                                             = 7260 + 660 x + 15 x x + 44 x × 22 + 44 x x
                                             = 7260 + 660 x + 15 x x + 968 x + 44 x x + 2
                                             = 7260 + 1628 x + 15 x x + 44 x x + 2 x x
                                             = 7260 + 1628 x + 15 x x + 44 x x + 2 x x
                                             = 7260 + 1628 x + 15 x x + 44 x x + 44 x x
                                             = 7260 + 1628 x + 15 x x + 44 x x + 44 x x
                                             = 7260 + 1628 x + 15 x x + 44 x x + 44 x x
                                             = 7260 + 1628 x + 15 x x + 44 x x + 44 x x
                                             = 7260 + 1628 x + 15 x x + 44 x x + 44 x x
                                             = 7260 + 1628 x + 15 x x + 44 x x + 44 x x
                                             = - 510 + 518 x + 15 x x + 44 x x + 44 x x
                                             = - 510 + 518 x + 15 x x + 44 x x + 44 x x
                                             = - 510 + 518 x + 15 x x + 44 x x + 44 x x
                                             = - 510112 x + 15 x x + 44 x x + 44 x x
                                             = - 510112 x + 15 x x + 44 x x + 44 x x

    The solution of the equation:
        x1≈-16.853780 , keep 6 decimal places
        x2≈-7.943909 , keep 6 decimal places
        x3≈-0.952311 , keep 6 decimal places
    
    There are 3 solution(s).


解程的详细方法请参阅:《方程的解法》



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