What is (x^2+14x9)+(y^2+12y+36)=36+49+36 ?

The solution to (x^2+14x9)+(y^2+12y+36)=36+49+36 is Circle with (a,b)=(-63,-6),r=sqrt(4090)

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(x^2+14x9)+(y^2+12y+36)=36+49+36

(x^{2} + 14 x 9) + (y^{2} + 12 y + 36) = 36 + 49 + 36

(a, b) = (- 63, - 6), r = 4090

Solution steps

x^{2} + 14 x \cdot 9 + (y^{2} + 12 y + 36) = 36 + 49 + 36

Rewrite

x^{2} + 14 x 9 + (y^{2} + 12 y + 36) = 36 + 49 + 36

in the form of the standard circle equation

(x - (- 63))^{2} + (y - (- 6))^{2} = (4090)^{2}

Therefore the circle properties are:

(a, b) = (- 63, - 6), r = 4090

x^{2} + y^{2} - 10 x + 7 y + 30 = 0

x^{2} + 4 x + y^{2} + 6 y = 16

(x - 3)^{2} + (y + 2)^{2} = 33

4 x^{2} + 4 y^{2} - 24 x + 36 y = - 81

4 x^{2} - 8 x + 4 y^{2} - 16 y - 124 = 0

What is (x^2+14x9)+(y^2+12y+36)=36+49+36 ?
The solution to (x^2+14x9)+(y^2+12y+36)=36+49+36 is Circle with (a,b)=(-63,-6),r=sqrt(4090)