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