How do you solve # 1/ (x-2) + (2x)/ ((x-2)(x-8)) = x/ (2(x-8)) #?
Multiply both sides by the least common multiple of the numerators.
Solve the resulting quadratic.
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: