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What is the sum of the x-values that satisfy the equation \(5=\frac{x^3-2x^2-8x}{x+2}\)?

 Apr 13, 2020
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           5  =  ( x3 - 2x2 - 8x ) / ( x + 2 )                                              Note that x can't equal -2.

 5(x + 2)  =  x3 - 2x2 - 8x

 5x + 10  =  x3 - 2x2 - 8x

           0  =  x3 - 2x2 - 13x - 10

           0  =  (x + 2)(x + 1)(x - 5)

Answers:  x = -1     x = 5

 Apr 13, 2020

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