Question
$$4(x+8)^2 = 36$$
Answer
$$ \begin{matrix}x_1 = -5 & x_2 = -11 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 4(x+8)^2 &= 36&& \text{simplify left side} \\[1 em]4(x^2+16x+64) &= 36&& \\[1 em]4x^2+64x+256 &= 36&& \text{move all terms to the left hand side } \\[1 em]4x^2+64x+256-36 &= 0&& \text{simplify left side} \\[1 em]4x^2+64x+220 &= 0&& \\[1 em] \end{aligned} $$
$ 4x^{2}+64x+220 = 0 $ is a quadratic equation.
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