Question
$$u^2+33 = -11$$
Answer
$$ \begin{matrix}u_1 = 2 \sqrt{ 11 } i & u_2 = -2 \sqrt{ 11 } i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} u^2+33 &= -11&& \text{move all terms to the left hand side } \\[1 em]u^2+33+11 &= 0&& \text{simplify left side} \\[1 em]u^2+44 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}+44 = 0 $ is a quadratic equation.
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