Answer
$x=-\frac{8}{3}$ or $x=-4$.
Work Step by Step
By factorization, we have
$$3x^2 +20x+32=(3x+8)(x+4)=0.$$
Then we have
$$(3x+8) =0, \quad \text{or} \quad (x+4)=0$$
that is $x=-\frac{8}{3}$ or $x=-4$.
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