Question
$$3(-x-2)x-5 = 1$$
Answer
$$ \begin{matrix}x_1 = -1+i & x_2 = -1-i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 3(-x-2)x-5 &= 1&& \text{simplify left side} \\[1 em](-3x-6)x-5 &= 1&& \\[1 em]-3x^2-6x-5 &= 1&& \text{move all terms to the left hand side } \\[1 em]-3x^2-6x-5-1 &= 0&& \text{simplify left side} \\[1 em]-3x^2-6x-6 &= 0&& \\[1 em] \end{aligned} $$
$ -3x^{2}-6x-6 = 0 $ is a quadratic equation.
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