Question
$$9-\frac{x}{5}x-1 = 2$$
Answer
$$ \begin{matrix}x_1 = -\sqrt{ 30 } & x_2 = \sqrt{ 30 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 9-\frac{x}{5}x-1 &= 2&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5\cdot9-5 \cdot \frac{x}{5}x-5\cdot1 &= 5\cdot2&& \text{cancel out the denominators} \\[1 em]45-x^2-5 &= 10&& \text{simplify left side} \\[1 em]-x^2+40 &= 10&& \text{move all terms to the left hand side } \\[1 em]-x^2+40-10 &= 0&& \text{simplify left side} \\[1 em]-x^2+30 &= 0&& \\[1 em] \end{aligned} $$
$ -x^{2}+30 = 0 $ is a quadratic equation.
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