$$-q^2-49 = 23$$
Answer
$$ \begin{matrix}q_1 = 6 \sqrt{ 2 } i & q_2 = -6 \sqrt{ 2 } i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} -q^2-49 &= 23&& \text{move all terms to the left hand side } \\[1 em]-q^2-49-23 &= 0&& \text{simplify left side} \\[1 em]-q^2-72 &= 0&& \\[1 em] \end{aligned} $$
$ -x^{2}-72 = 0 $ is a quadratic equation.
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