Question

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

Answer 1

Put everything on an equal denominator and solve for x.

Explanation:

The lowest common denomiator for this equation would be 3x

`-4/x` = `1/3x` - 10

`-(4(3))/(3x)` = `(x(x))/(3x` - `(10(3x))/(3x)`

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.