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