What is x^2-8x+y^2+6y=-9 ?

The solution to x^2-8x+y^2+6y=-9 is Circle with (a,b)=(4,-3),r=4

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x^2-8x+y^2+6y=-9

x^{2} - 8 x + y^{2} + 6 y = - 9

(a, b) = (4, - 3), r = 4

Solution steps

x^{2} - 8 x + y^{2} + 6 y = - 9

Rewrite

x^{2} - 8 x + y^{2} + 6 y = - 9

in the form of the standard circle equation

(x - 4)^{2} + (y - (- 3))^{2} = 4^{2}

Therefore the circle properties are:

(a, b) = (4, - 3), r = 4

(x + 4)^{2} + (y - 4)^{2} = 4

9 x^{2} + 9 y^{2} + 72 x + 6 y + 1 = 0

x^{2} + (y - 3)^{2} = 16

(x - 2)^{2} + (y + 1)^{2} = 16

3 x^{2} + 3 y^{2} = 27

What is x^2-8x+y^2+6y=-9 ?
The solution to x^2-8x+y^2+6y=-9 is Circle with (a,b)=(4,-3),r=4