(u - 3)(u + 5) = -12
The left side is factored, but it doesn't help
us because we don't have 0 on the right side.  So
we must "un-factor" the left side, get 0 on the 
right side, then "re-factor" the new left side:
   (u - 3)(u + 5) = -12
u² + 5u - 3u - 15 = -12
     u° + 2u - 15 = -12
      u² + 2u - 3 = 0 
    
   (u + 3)(u - 1) = 0
u + 3 =  0   u - 1 = 0
    u = -3       u = 1