Question

How do you solve `4/x-5/3=x/6`?

Answer 1

`"x"=2`
`"x"=-12`

Explanation:

What is the least common denominator of 3, x and 6?
6x
1. Multiply everything by 6x to clear out the denominator.
`6x(4/x-5/3=x/6)`
`(24-10x=x^2)`
2. Looks like a quadratic, solve by factoring
`x^2+10x-24=0`
`(x-2)(x+12)=0`
`"x"=2`
`"x"=-12`