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

Apr 13, 2018

No values for $m$

#### Explanation:

Multiply both sides by $m \left(m - 2\right)$

$5 \left(m - 2\right) + 3 m = 6$

$5 m - 10 + 3 m = 6$

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

$m = \frac{16}{8} = 2$

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