We have the following expression,
[tex]x^2+(y+4)^2=29[/tex]By expanding the term in the variable y, we get
[tex]x^2+y^2+8y+16=29[/tex]By moving 29 to the left hand side, we have
[tex]x^2+y^2+8y+16-29=0[/tex]Therefore, the circle equation in general form is given by
[tex]x^2+y^2+8y-13=0[/tex]