Question

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

Answer 1

`x=-1 and x=6`

Explanation:

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

`x^2-6=5x and x!=0`

`x^2-5x-6=0`

`x=(5+-sqrt(25-4(-6)))/2`

`x=(5+-sqrt(49))/2`

`x=(5+-7)/2`

`x=-1 and x=6`