X2+y2+14x-12y=-69

wat is the center and radius of the circle

The circle has a radius 4, and a center (-7,6)

Ok

you complete the square on the terms in x and y

X2+y2+14x-12y=-69

x^2 + 14x + y^2 - 12y = - 69

To complete the square on x^2 + 14x you divide the 14 by 2 to get 7 then you write (x + 7) ^2, now if you expand that you'll get x^2 + 14x + 49, which is not x^2 + 14x, of course, so you need to subtract 49 to get back to x^2 + 14x. so we have

x^2 + 14x = (x + 7) ^2 - 49

follow?