Verify that the given differential equation is exact; then solve it.
(6x^(2)+6y^(2))dx+(12xy+9y^(2))dy=0
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The equation is exact and an implicit solution in the form F(x,y)=C is ,=C, where Cx and y as the variables.