Question
$$9(x+6)^2 = 18$$
Answer
$$ \begin{matrix}x_1 = -6-\sqrt{ 2 } & x_2 = -6+\sqrt{ 2 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 9(x+6)^2 &= 18&& \text{simplify left side} \\[1 em]9(x^2+12x+36) &= 18&& \\[1 em]9x^2+108x+324 &= 18&& \text{move all terms to the left hand side } \\[1 em]9x^2+108x+324-18 &= 0&& \text{simplify left side} \\[1 em]9x^2+108x+306 &= 0&& \\[1 em] \end{aligned} $$
$ 9x^{2}+108x+306 = 0 $ is a quadratic equation.
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