Answer
$ w=-2 $ or $w=-3$.
Work Step by Step
By factorization, we have
$$w^2+5w+6=(w+2)(w+3)=0.$$
Then we have
$$(w+2 ) =0, \quad \text{or} \quad (w+3)=0$$
that is $ w=-2 $ or $w=-3$.
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