$$ \begin{aligned} (10x+10)(5x+5) &= 0&& \text{simplify left side} \\[1 em]50x^2+50x+50x+50 &= 0&& \\[1 em]50x^2+100x+50 &= 0&& \\[1 em] \end{aligned} $$
$ 50x^{2}+100x+50 = 0 $ is a quadratic equation.
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