Question

How do you solve `(x/3) = (12/(x-5))`?

Answer 1

Cross-multiply:
`x^2 - 5x = 36`
`x^2-5x-36=0`
`(x-9)(x+4) = 0`
`x=9; x=-4`

To check:
`(9/3) =(12/(9-5))`
`3 = 3`

`(-4/3) = (12/(-4-5))`
`(-4/3) = -4/3`