# How do you solve x / 30 - 1/(5x) = 1/6?

Jun 19, 2016

$x = - 1 \mathmr{and} x = 6$

#### Explanation:

Write the equivalent equation, obtained by multiplying all terms by $30 x$:

${x}^{2} - 6 = 5 x \mathmr{and} x \ne 0$

${x}^{2} - 5 x - 6 = 0$

$x = \frac{5 \pm \sqrt{25 - 4 \left(- 6\right)}}{2}$

$x = \frac{5 \pm \sqrt{49}}{2}$

$x = \frac{5 \pm 7}{2}$

$x = - 1 \mathmr{and} x = 6$