Is this bad? A program indicates that I'm correct for 2/3. What's my mistake?

I need to find (h,k) and the radius.

5x^2 -3x +5y^2 -9y -8 =0

x^2 -3x/5 +y^2 -9y/5 -8/5 =0

x^2 -3x/5 +(3/10)^2 -(3/10)^2 +y^2 -9y/5 +(9/10)^2 -(9/10)^2 -8/5 =0

(x -3/10)^2 -(3/10)^2 +(y -9/10)^2 -(9/10)^2 -8/5 =0

(x -3/10)^2 + (y -9/10)^2 -(3/10)^2 -(9/10)^2 -160/100 =0

(x -3/10)^2 +(y -9/10)^2 -9/100 -81/100 -160/100 =0

(x -3/10)^2 +(y -9/10)^2 = (250/100)^(1/2)

h: 3/10

k: 9/10

r: (5/2)^(1/2)

Please help.