Answer:
x = -2, -1
Step-by-step explanation:
Step 1: Write equation
(x - 2)² + 7(x - 2) + 12 = 0
Step 2: Solve for x
Expand: x² - 4x + 4 + 7(x - 2) + 12 = 0
Distribute 7: x² - 4x + 4 + 7x - 14 + 12 = 0
Combine like terms: x² + 3x + 2 = 0
Factor: (x + 2)(x + 1) = 0
Find roots: x = -2, -1
