$$ \begin{aligned} (9x+12)^2+2025 &= 0&& \text{simplify left side} \\[1 em]81x^2+216x+144+2025 &= 0&& \\[1 em]81x^2+216x+2169 &= 0&& \\[1 em] \end{aligned} $$
$ 81x^{2}+216x+2169 = 0 $ is a quadratic equation.
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