$$ \begin{aligned} (4x+3)(4x-3) &= 0&& \text{simplify left side} \\[1 em]16x^2-12x+12x-9 &= 0&& \\[1 em]16x^2-12x+12x-9 &= 0&& \\[1 em]16x^2-9 &= 0&& \\[1 em] \end{aligned} $$
$ 16x^{2}-9 = 0 $ is a quadratic equation.
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