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