Answer
-1,0
Work Step by Step
$x^{3}+2x^{2}+x=0$
$x(x^{2}+2x+1)=0$
$x(x^{2}+x+x+1)=0$
$x((x^{2}+x)+(x+1))=0$
$x(x(x+1)+1(x+1))=0$
$x((x+1)(x+1))=0$
$x=0$
$x+1=0, x=-1$
$x=0, -1$
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