$$ \begin{aligned} (2x+1)(5x-3) &= 0&& \text{simplify left side} \\[1 em]10x^2-6x+5x-3 &= 0&& \\[1 em]10x^2-x-3 &= 0&& \\[1 em] \end{aligned} $$
$ 10x^{2}-x-3 = 0 $ is a quadratic equation.
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