$$ \begin{aligned} (4x-5)(x-3) &= 0&& \text{simplify left side} \\[1 em]4x^2-12x-5x+15 &= 0&& \\[1 em]4x^2-17x+15 &= 0&& \\[1 em] \end{aligned} $$
$ 4x^{2}-17x+15 = 0 $ is a quadratic equation.
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