$$ \begin{aligned} 9(3x-1)^2 &= 0&& \text{simplify left side} \\[1 em]9(9x^2-6x+1) &= 0&& \\[1 em]81x^2-54x+9 &= 0&& \\[1 em] \end{aligned} $$
$ 81x^{2}-54x+9 = 0 $ is a quadratic equation.
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