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