$$ \begin{aligned} (x+5)^2+(x+5)^2 &= 0&& \text{simplify left side} \\[1 em]x^2+10x+25+x^2+10x+25 &= 0&& \\[1 em]2x^2+20x+50 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}+20x+50 = 0 $ is a quadratic equation.
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