Question
$$(x-1)(x+5) = 55$$
Answer
$$ \begin{matrix}x_1 = 6 & x_2 = -10 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (x-1)(x+5) &= 55&& \text{simplify left side} \\[1 em]x^2+5x-x-5 &= 55&& \\[1 em]x^2+4x-5 &= 55&& \text{move all terms to the left hand side } \\[1 em]x^2+4x-5-55 &= 0&& \text{simplify left side} \\[1 em]x^2+4x-60 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}+4x-60 = 0 $ is a quadratic equation.
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