Question 751264
w - 2/w - 1 = 4/w + 5

Common denominator (w - 1)(w + 5)

(w + 5)(w - 2) = 4(w - 1)
w^2 + 3w - 10 = 4w - 4
w^2 + 3w - 4w - 10 + 4 = 0
w^2 - w - 6 = 0
(w + 2)(w - 3) = 0
 w = -2 or w = 3