$$ \begin{aligned} (2m-3)(m+6) &= 0&& \text{simplify left side} \\[1 em]2m^2+12m-3m-18 &= 0&& \\[1 em]2m^2+9m-18 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}+9x-18 = 0 $ is a quadratic equation.
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