Rewrite the following equation in the center-radius form of the equation of a circle.

x2 + 14x + y2 + 12y = - 60

A. (x + 7) 2 + (y + 7) 2 = 25

B. (x + 7) 2 + (y + 6) 2 = 25

C. (x - 6) 2 + (y - 7) 2 = 25

D. (x + 9) 2 + (y + 5) 2 = 25

Complet the squares

(x^2+14x) + (y^2+12y) = - 60

add negative and positive 1/2 of linear coefs inside parenthaees

14/2=7, 7^2=49

12/2=6, 6^2=36

(x^2+14x+49-49) + (y^2+12x+36-36) = - 60

factor perfect square

((x+7) ^2-49) + ((y+6) ^2-36) = - 60

get rid of parnthaeses

(x+7) ^2-49 + (y+6) ^2-36=-60

(x+7) ^2 + (y+6) ^2-85=-60

add 85 to both sides

(x+7) ^2 + (y+6) ^2=25

B is answer