Rewrite the equation by completing the square.

x^2 + 12x + 36 = 0

(x+6) ^2 = 0

(x+6) ^2 = 0

Step-by-step explanation:

x^2 + 12x + 36 = 0

Subtract 36 from each side

x^2 + 12x + 36-36 = 0-36

x^2 + 12x = - 36

Take the coefficient of x

12

Divide by 2

12/2 = 6

Square it

6^2 = 36

Add this to each side

x^2 + 12x + 36 = - 36+36

(x+12/2) ^2 = 0

(x+6) ^2 = 0