$$w^2+32 = -17$$
Answer
$$ \begin{matrix}w_1 = 7 i & w_2 = -7 i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} w^2+32 &= -17&& \text{move all terms to the left hand side } \\[1 em]w^2+32+17 &= 0&& \text{simplify left side} \\[1 em]w^2+49 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}+49 = 0 $ is a quadratic equation.
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