$$\frac{x^2-2}{x+7} = 0$$
Answer
$$ \begin{matrix}x_1 = -\sqrt{ 2 } & x_2 = \sqrt{ 2 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{x^2-2}{x+7} &= 0&& \text{multiply ALL terms by } \color{blue}{ x+7 }. \\[1 em](x+7)\frac{x^2-2}{x+7} &= (x+7)\cdot0&& \text{cancel out the denominators} \\[1 em]x^2-2 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}-2 = 0 $ is a quadratic equation.
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