$$ \begin{aligned} (3x+8)(x-3) &= 0&& \text{simplify left side} \\[1 em]3x^2-9x+8x-24 &= 0&& \\[1 em]3x^2-x-24 &= 0&& \\[1 em] \end{aligned} $$
$ 3x^{2}-x-24 = 0 $ is a quadratic equation.
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