How would I solve x^2 + 12x + 32 = 0 by completing the square?

x = -4, -8

Step-by-step explanation:

Step 1: Write out quadratic

x² + 12x + 32 = 0

Step 2: Subtract 32 on both sides

x² + 12x = -32

Step 3: Complete the Square

x² + 12x + 36 = -32 + 36

(x + 6)² = 4

Step 4: Take square root of both sides

x + 6 = ±2

Step 5: Subtract 6 on both sides

x = -6 ± 2

x = -4, -8

x=-4,-8

Step-by-step explanation:

Use the formula (b/2)^2

in order to create a new term. Solve for x

by using this term to complete the square.