Multiplying both sides by x² - 4, we get
x² + 4x + 4 = 3x² - 12
2x² - 4x - 16 = 0
x² - 2x - 8 = 0
x² - 4x + 2x - 8 = 0
x(x - 4) + 2(x - 4) = 0
(x + 2)(x - 4) = 0
x + 2 = 0, x - 4 = 0
[spoiler]x = -2, 4[/spoiler]
Multiplying both sides by x² - 4, we get