Which curve?

Algebra Level 2

(8x3+36x2+54x+27)(x1)2(x3+6x2+12x+8)(x+1)2<0\dfrac{(8x^3 + 36x^2 + 54x + 27){(x-1)}^2}{(x^3 + 6x^2 + 12x + 8){(x+1)}^2} < 0

Find all the possible values of xx.

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