Question

How do you solve `5/m + 3/(m-2) = 6/(m(m-2))`?

Answer 1

No values for `m`

Explanation:

Multiply both sides by `m(m-2)`

`5(m-2)+3m=6`

`5m-10+3m=6`

Put like terms on each side:
`8m=16`

`m=16/8=2`

However, the original equation has `(m-2)` on the bottom and having `m=2` would make some terms undefined since it would be divided by 0, so no values of `m`.