$$ \begin{aligned} (x-3)\cdot(2-x) &= 0&& \text{simplify left side} \\[1 em]2x-x^2-6+3x &= 0&& \\[1 em]-x^2+5x-6 &= 0&& \\[1 em] \end{aligned} $$
$ -x^{2}+5x-6 = 0 $ is a quadratic equation.
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