# How do you solve # 1/ (x-2) + (2x)/ ((x-2)(x-8)) = x/ (2(x-8)) #?

##### 1 Answer

Apr 22, 2017

Multiply both sides by the least common multiple of the numerators.

Solve the resulting quadratic.

Check.

#### Explanation:

Given:

Multiply both sides by

Combine like terms:

Neither 2 nor 8 are roots, therefore, we drop the restrictions:

The above factors into a perfect square:

check:

This checks.