$$ \begin{aligned} (3x+5)(-x+6) &= 0&& \text{simplify left side} \\[1 em]-3x^2+18x-5x+30 &= 0&& \\[1 em]-3x^2+13x+30 &= 0&& \\[1 em] \end{aligned} $$
$ -3x^{2}+13x+30 = 0 $ is a quadratic equation.
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