# How do you solve 1/(c-2) + 1/c = 2/(c(c-2))?

Dec 15, 2015

No solution

#### Explanation:

Assume that solution exist.

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

$c + \left(c - 2\right) = 2$

$2 c - 2 = 2$

$2 c = 4$

$c = 2$

Upon inspection, there is division by zero in the first fraction.

Hence there are no solution.