$$3(x+5)^2 = 363$$
Answer
$$ \begin{matrix}x_1 = 6 & x_2 = -16 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 3(x+5)^2 &= 363&& \text{simplify left side} \\[1 em]3(x^2+10x+25) &= 363&& \\[1 em]3x^2+30x+75 &= 363&& \text{move all terms to the left hand side } \\[1 em]3x^2+30x+75-363 &= 0&& \text{simplify left side} \\[1 em]3x^2+30x-288 &= 0&& \\[1 em] \end{aligned} $$
$ 3x^{2}+30x-288 = 0 $ is a quadratic equation.
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