# How do you solve -4/x = 1/3x - 10 ?

Jan 25, 2016

Put everything on an equal denominator and solve for x.

#### Explanation:

The lowest common denomiator for this equation would be 3x

$- \frac{4}{x}$ = $\frac{1}{3} x$ - 10

$- \frac{4 \left(3\right)}{3 x}$ = (x(x))/(3x - $\frac{10 \left(3 x\right)}{3 x}$

Now that everything's on an equal denomiator we can get rid of the denominators and solve the resulting quadratic equation.

-12 = ${x}^{2}$ - 30x

0 = ${x}^{2}$ - 30x + 12

After solving with the quadratic formula, you'll get approximate solutions of x = 29.5945 and x = 0.4055. However, your teacher may want you to leave the answer In radical form, so beware of that.