# Solve the equation x^(3)+x^(2)-x-=0

Solve the equation ${x}^{3}+2{x}^{2}-x-2=0$
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Lena Ibarra
${x}^{3}+2{x}^{2}-x-2=0$
Let's factorize the left side:
${x}^{2}\ast \left(x+2\right)-\left(x+2\right)=0$
$\left(x+2\right)\left({x}^{2}-1\right)=0$
(x+2)(x-1)(x+1)=0
x+2=0 or x-1=0 or x+1=0
x=-2, x=1, x=-1