What is x^2+y^2+10x+2y=-12 ?

The solution to x^2+y^2+10x+2y=-12 is Circle with (a,b)=(-5,-1),r=sqrt(14)

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x^2+y^2+10x+2y=-12

x^{2} + y^{2} + 10 x + 2 y = - 12

(a, b) = (- 5, - 1), r = 14

Solution steps

x^{2} + y^{2} + 10 x + 2 y = - 12

Rewrite

x^{2} + y^{2} + 10 x + 2 y = - 12

in the form of the standard circle equation

(x - (- 5))^{2} + (y - (- 1))^{2} = (14)^{2}

Therefore the circle properties are:

(a, b) = (- 5, - 1), r = 14

(x + 3)^{2} + (y + 4)^{2} = 16

x^{2} + y^{2} = 200

X^{2} + Y^{2} - 5 X + 4 Y = 46

(x + 4)^{2} + (y - 4)^{2} = 8

x^{(2)} + y^{(2)} + 2 x - 7 = 0

What is x^2+y^2+10x+2y=-12 ?
The solution to x^2+y^2+10x+2y=-12 is Circle with (a,b)=(-5,-1),r=sqrt(14)