What is 9x^2+36x+9y^2+72y=-155 ?

The solution to 9x^2+36x+9y^2+72y=-155 is Circle with (a,b)=(-2,-4),r= 5/3

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9x^2+36x+9y^2+72y=-155

9 x^{2} + 36 x + 9 y^{2} + 72 y = - 155

(a, b) = (- 2, - 4), r = \frac{5}{3}

Solution steps

9 x^{2} + 36 x + 9 y^{2} + 72 y = - 155

Rewrite

9 x^{2} + 36 x + 9 y^{2} + 72 y = - 155

in the form of the standard circle equation

(x - (- 2))^{2} + (y - (- 4))^{2} = (\frac{5}{3})^{2}

Therefore the circle properties are:

(a, b) = (- 2, - 4), r = \frac{5}{3}

(y + 4)^{2} + (x - 3)^{2} = 25

9 - 2 x^{2} - 2 y^{2} = 0

(x - 3)^{2} + (y - 2)^{2} = 1

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

x^{2} + 10 x + y^{2} - 8 y = - 16

What is 9x^2+36x+9y^2+72y=-155 ?
The solution to 9x^2+36x+9y^2+72y=-155 is Circle with (a,b)=(-2,-4),r= 5/3