$$ \begin{aligned} (9x-4)(2x+5) &= 0&& \text{simplify left side} \\[1 em]18x^2+45x-8x-20 &= 0&& \\[1 em]18x^2+37x-20 &= 0&& \\[1 em] \end{aligned} $$
$ 18x^{2}+37x-20 = 0 $ is a quadratic equation.
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