$$ \begin{aligned} 7+4x\cdot3+8x5x\cdot2 &= 0&& \text{simplify left side} \\[1 em]7+12x+8x\cdot10x &= 0&& \\[1 em]7+12x+80x^2 &= 0&& \\[1 em]80x^2+12x+7 &= 0&& \\[1 em] \end{aligned} $$
$ 80x^{2}+12x+7 = 0 $ is a quadratic equation.
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