$$ \begin{aligned} (2x+3)(x+23) &= 0&& \text{simplify left side} \\[1 em]2x^2+46x+3x+69 &= 0&& \\[1 em]2x^2+49x+69 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}+49x+69 = 0 $ is a quadratic equation.
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