$$ \begin{aligned} 18x^2-126 &= 18&& \text{move all terms to the left hand side } \\[1 em]18x^2-126-18 &= 0&& \text{simplify left side} \\[1 em]18x^2-144 &= 0&& \\[1 em] \end{aligned} $$
$ 18x^{2}-144 = 0 $ is a quadratic equation.
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