Answer
$x^2+8x+y^2-4y+11=0$
Work Step by Step
Center=$(-4,2)$ Radius=$3$
Equation:
$(x+4)^2+(y-2)^2=3^2$
$\implies x^2+8x+16+y^2-4y+4=9$
$\implies x^2+8x+y^2-4y+11=0$
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