$$ \begin{aligned} (2x-2)(x+13) &= 0&& \text{simplify left side} \\[1 em]2x^2+26x-2x-26 &= 0&& \\[1 em]2x^2+24x-26 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}+24x-26 = 0 $ is a quadratic equation.
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