$$ \begin{aligned} (2x-5)(x+4) &= 0&& \text{simplify left side} \\[1 em]2x^2+8x-5x-20 &= 0&& \\[1 em]2x^2+3x-20 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}+3x-20 = 0 $ is a quadratic equation.
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