Question
$$(x+9)^2 = 67$$
Answer
$$ \begin{matrix}x_1 = -9-\sqrt{ 67 } & x_2 = -9+\sqrt{ 67 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (x+9)^2 &= 67&& \text{simplify left side} \\[1 em]x^2+18x+81 &= 67&& \text{move all terms to the left hand side } \\[1 em]x^2+18x+81-67 &= 0&& \text{simplify left side} \\[1 em]x^2+18x+14 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}+18x+14 = 0 $ is a quadratic equation.
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