# Question #f7ea2

Mar 26, 2017

$x = - 2 \pm \sqrt{29}$

#### Explanation:

$\frac{50}{x} + 2 = 2 x + 10$

First, you would exclude the solution $x = 0$ and then multiply all the terms by x:

$x \ne 0$ and $50 + 2 x = 2 {x}^{2} + 10 x$

Then get it in the standard form and solve it by the quadratic formula:

$2 {x}^{2} + 8 x - 50 = 0$ or, dividing all the terms by 2:

${x}^{2} + 4 x - 25 = 0$

$x = - 2 \pm \sqrt{4 + 25}$ (simplified formula $x = - \frac{b}{2} \pm \sqrt{{\left(\frac{b}{2}\right)}^{2} - c}$)

$x = - 2 \pm \sqrt{29}$