Question
$$64+xx = 16\cdot16-xx$$
Answer
$$ \begin{matrix}x_1 = -4 \sqrt{ 6 } & x_2 = 4 \sqrt{ 6 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 64+xx &= 16\cdot16-xx&& \text{simplify left and right hand side} \\[1 em]64+x^2 &= 256-x^2&& \\[1 em]x^2+64 &= -x^2+256&& \text{move all terms to the left hand side } \\[1 em]x^2+64+x^2-256 &= 0&& \text{simplify left side} \\[1 em]2x^2-192 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}-192 = 0 $ is a quadratic equation.
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