$$ \begin{aligned} \frac{x^2+6x+8}{x+2} &= 0&& \text{multiply ALL terms by } \color{blue}{ x+2 }. \\[1 em](x+2)\frac{x^2+6x+8}{x+2} &= (x+2)\cdot0&& \text{cancel out the denominators} \\[1 em]x^2+6x+8 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}+6x+8 = 0 $ is a quadratic equation.
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