$$ \begin{aligned} 1+6x4x\cdot1 &= 0&& \text{simplify left side} \\[1 em]1+24x^2 &= 0&& \\[1 em]24x^2+1 &= 0&& \\[1 em] \end{aligned} $$
$ 24x^{2}+1 = 0 $ is a quadratic equation.
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