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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 (x+1)(x+3.5)(x+2)(x+4)+x(x+3.5)(x+2)(x+4)+x(x+3.5)(x+1)(x+4)+x(x+3.5)(x+1)(x+2) = 0 .
    Question type: Equation
    Solution:Original question:
     ( x + 1)( x +
7
2
)( x + 2)( x + 4) + x ( x +
7
2
)( x + 2)( x + 4) + x ( x +
7
2
)( x + 1)( x + 4) = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = x ( x +
7
2
)( x + 2)( x + 4) + 1( x +
7
2
)( x + 2)( x + 4) + x ( x +
7
2
)( x + 2)( x + 4)
                                             = x x ( x + 2)( x + 4) + x ×
7
2
( x + 2)( x + 4) + 1( x +
7
2
)( x + 2)( x + 4)
                                             = x x x ( x + 4) + x x × 2( x + 4) + x ×
7
2
( x + 2)( x + 4)
                                             = x x x x + x x x × 4 + x x × 2( x + 4)
                                             = x x x x + x x x × 4 + x x × 2 x
                                             = x x x x + x x x × 4 + x x × 2 x
                                             = x x x x + x x x × 4 + x x × 2 x
                                             = x x x x + x x x × 4 + x x × 2 x
                                             = x x x x + x x x × 4 + x x × 2 x
                                             = x x x x + x x x × 4 + x x × 2 x
                                             = x x x x + x x x × 4 + x x × 2 x
                                             = x x x x + x x x × 4 + x x × 2 x
                                             = x x x x + x x x × 4 + x x × 2 x
                                             = x x x x + x x x × 4 + x x × 2 x
                                             = x x x x + x x x × 4 + x x × 2 x
                                             = x x x x + x x x × 4 + x x × 2 x
                                             = x x x x + x x x × 4 + x x × 2 x
                                             = x x x x + x x x × 4 + x x × 2 x
                                             = x x x x + x x x × 4 + x x × 2 x
                                             = x x x x + x x x × 4 + x x × 2 x
                                             = x x x x + x x x × 4 + x x × 2 x
                                             = x x x x + x x x × 4 + x x × 2 x
                                             = x x x x + x x x × 4 + x x × 2 x
                                             = x x x x + x x x × 4 + x x × 2 x
                                             = x x x x + x x x × 4 + x x × 2 x

    After the equation is converted into a general formula, there is a common factor:
    ( 2x + 7 )
    From
        2x + 7 = 0

    it is concluded that::
        x1=-
7
2

    Solutions that cannot be obtained by factorization:
        x2≈-3.326345 , keep 6 decimal places
        x3≈-1.530907 , keep 6 decimal places
        x4≈-0.392748 , keep 6 decimal places
    
    There are 4 solution(s).


解程的详细方法请参阅:《方程的解法》



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