Answer
Center: (1,-12)
Radius: 5
Work
+
-2x+24y+120=0 (Subtract 120 on both sides and rearrange)
-2x+
+24y=-120 (Then divide 2 by 2 and square it. Do the same for 24.)
-2x+1+
+24y+144=-120+1+144 (You have to add the same numbers on both sides)
(Simplify)
So you would put (1,-12); r=5