$$s^2 = -45$$
Answer
$$ \begin{matrix}s_1 = 3 \sqrt{ 5 } i & s_2 = -3 \sqrt{ 5 } i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} s^2 &= -45&& \text{move all terms to the left hand side } \\[1 em]s^2+45 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}+45 = 0 $ is a quadratic equation.
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