Question 29289
You might want to try this:
{{{x^2+y^2+6x-6y = 2}}} Group the x-terms and the y-terms.
{{{(x^2+6x)+(y^2-6y) = 2}}} Now "complete the square" in the x-terms and in the y-terms.
{{{(x^2+6x+9)+(y^2-6y+9) = 2+18}}} Simplify and factor the parentheses.
{{{(x+3)^2 + (y-3)^2 = 20}}} Does this begin to look familiar?  Compare with:
{{{(x-h)^2 + (y-k)^2 = r^2}}} A circle with centre at (h, k) and radius r.

You should be able to draw the conclusion yourself.