Question
$$(x+2)^2 = (2x-14)^2$$
Answer
$$ \begin{matrix}x_1 = 4 & x_2 = 16 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} (x+2)^2 &= (2x-14)^2&& \text{simplify left and right hand side} \\[1 em]x^2+4x+4 &= 4x^2-56x+196&& \text{move all terms to the left hand side } \\[1 em]x^2+4x+4-4x^2+56x-196 &= 0&& \text{simplify left side} \\[1 em]-3x^2+60x-192 &= 0&& \\[1 em] \end{aligned} $$
$ -3x^{2}+60x-192 = 0 $ is a quadratic equation.
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