Question
$$6z^2 = -6$$
Answer
$$ \begin{matrix}z_1 = i & z_2 = -i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 6z^2 &= -6&& \text{move all terms to the left hand side } \\[1 em]6z^2+6 &= 0&& \\[1 em] \end{aligned} $$
$ 6x^{2}+6 = 0 $ is a quadratic equation.
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