$$ \begin{aligned} 12(x-2)\cdot3(4x-8) &= 0&& \text{simplify left side} \\[1 em](12x-24)\cdot3(4x-8) &= 0&& \\[1 em](36x-72)(4x-8) &= 0&& \\[1 em]144x^2-288x-288x+576 &= 0&& \\[1 em]144x^2-576x+576 &= 0&& \\[1 em] \end{aligned} $$
$ 144x^{2}-576x+576 = 0 $ is a quadratic equation.
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