Question
$$(x-1)(x+6) = 18$$
Answer
$$ \begin{matrix}x_1 = 3 & x_2 = -8 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (x-1)(x+6) &= 18&& \text{simplify left side} \\[1 em]x^2+6x-x-6 &= 18&& \\[1 em]x^2+5x-6 &= 18&& \text{move all terms to the left hand side } \\[1 em]x^2+5x-6-18 &= 0&& \text{simplify left side} \\[1 em]x^2+5x-24 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}+5x-24 = 0 $ is a quadratic equation.
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