find the center (h,k) and radius r of the circle and then find the intercepts, if any.
5x^2+30x+5y^2=0
divide by 5
x^2 + 6x + y^2 = 0
complete the square for the x terms
x^2 + 6x + 9 + y^2 = 9
(x+3)^2 + y^2= 9
take it from there
5x^2+30x+5y^2=0
x^2 + 6x + y^2 = 0
complete the square for the x terms
x^2 + 6x + 9 + y^2 = 9
(x+3)^2 + y^2= 9
take it from there