Question
$$x+5 = \frac{36}{x}$$
Answer
$$ \begin{matrix}x_1 = 4 & x_2 = -9 \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x+5 &= \frac{36}{x}&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]xx+x\cdot5 &= x\cdot\frac{36}{x}&& \text{cancel out the denominators} \\[1 em]x^2+5x &= 36&& \text{move all terms to the left hand side } \\[1 em]x^2+5x-36 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}+5x-36 = 0 $ is a quadratic equation.
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