x^2 - 3x = 8 / (x^2 - 3x - 2)

x^2 - 3x = 8 / [(x - 2)(x + 1)]

Multiplying both sides by (x^2 - 3x - 2), we get:

x^2 - 3x - 8 = 0

We can then factor the left-hand side:

(x - 4)(x + 2) = 0

Therefore, we have two solutions:

x = 4 or x = -2.