What is x^2+14x+7+y^2+12y+6=-21+7+6 ?

The solution to x^2+14x+7+y^2+12y+6=-21+7+6 is Circle with (a,b)=(-7,-6),r=8

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x^2+14x+7+y^2+12y+6=-21+7+6

x^{2} + 14 x + 7 + y^{2} + 12 y + 6 = - 21 + 7 + 6

(a, b) = (- 7, - 6), r = 8

Solution steps

x^{2} + 14 x + 7 + y^{2} + 12 y + 6 = - 21 + 7 + 6

Rewrite

x^{2} + 14 x + 7 + y^{2} + 12 y + 6 = - 21 + 7 + 6

in the form of the standard circle equation

(x - (- 7))^{2} + (y - (- 6))^{2} = 8^{2}

Therefore the circle properties are:

(a, b) = (- 7, - 6), r = 8

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

(x + 2)^{2} + (y - 9)^{2} = 144

16 - x^{2} + 2 x - y^{2} - 4 y - 5 > 0

(x + 3)^{2} + (y + 4)^{2} = 36

(x - 3)^{2} + (y + 6)^{2} = 16

What is x^2+14x+7+y^2+12y+6=-21+7+6 ?
The solution to x^2+14x+7+y^2+12y+6=-21+7+6 is Circle with (a,b)=(-7,-6),r=8