$$ \begin{aligned} (-2x+5)(-x+2) &= 0&& \text{simplify left side} \\[1 em]2x^2-4x-5x+10 &= 0&& \\[1 em]2x^2-9x+10 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}-9x+10 = 0 $ is a quadratic equation.
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