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(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