What is x^2-14x+y^2+2y=-14 ?

The solution to x^2-14x+y^2+2y=-14 is Circle with (a,b)=(7,-1),r=6

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x^2-14x+y^2+2y=-14

x^{2} - 14 x + y^{2} + 2 y = - 14

(a, b) = (7, - 1), r = 6

Solution steps

x^{2} - 14 x + y^{2} + 2 y = - 14

Rewrite

x^{2} - 14 x + y^{2} + 2 y = - 14

in the form of the standard circle equation

(x - 7)^{2} + (y - (- 1))^{2} = 6^{2}

Therefore the circle properties are:

(a, b) = (7, - 1), r = 6

x^{2} + y^{2} - 9 x + 4 y - 98 = 0

x^{2} + y^{2} - 10 x - 8 y + 4 = 0

x^{2} + y^{2} - 6 x - 8 y - 11 = 0

x^{2} + y^{2} \leq 13

9 x^{2} + 9 y^{2} + 54 x - 36 y + 17 = 0

What is x^2-14x+y^2+2y=-14 ?
The solution to x^2-14x+y^2+2y=-14 is Circle with (a,b)=(7,-1),r=6