What is x^2+y^2+6x-2x-2y+1=0 ?

The solution to x^2+y^2+6x-2x-2y+1=0 is Circle with (a,b)=(-2,1),r=2

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x^2+y^2+6x-2x-2y+1=0

x^{2} + y^{2} + 6 x - 2 x - 2 y + 1 = 0

(a, b) = (- 2, 1), r = 2

Solution steps

x^{2} + y^{2} + 6 x - 2 x - 2 y + 1 = 0

Rewrite

x^{2} + y^{2} + 6 x - 2 x - 2 y + 1 = 0

in the form of the standard circle equation

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

Therefore the circle properties are:

(a, b) = (- 2, 1), r = 2

x^{2} + y^{2} - 6 x - 2 y = 15

x^{2} + 2 x + y^{2} - 6 y = 15

16 x^{2} + 80 x + 16 y^{2} - 112 y = - 247

x^{2} + y^{2} - 9 x + 4 y - 104 = 0

(x + 2)^{2} + (y + 3)^{2} = 8^{2}

What is x^2+y^2+6x-2x-2y+1=0 ?
The solution to x^2+y^2+6x-2x-2y+1=0 is Circle with (a,b)=(-2,1),r=2