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