$$x\cdot2+7+\frac{10}{x}+2 = 0$$
Answer
$$ \begin{matrix}x_1 = -2 & x_2 = -\dfrac{ 5 }{ 2 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x\cdot2+7+\frac{10}{x}+2 &= 0&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]xx\cdot2+x\cdot7+x\cdot\frac{10}{x}+x\cdot2 &= x\cdot0&& \text{cancel out the denominators} \\[1 em]2x^2+7x+10+2x &= 0&& \text{simplify left side} \\[1 em]2x^2+9x+10 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}+9x+10 = 0 $ is a quadratic equation.
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