What is 9x^2+54x+9y^2-6y=-64 ?

The solution to 9x^2+54x+9y^2-6y=-64 is Circle with (a,b)=(-3, 1/3),r=sqrt(2)

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9x^2+54x+9y^2-6y=-64

9 x^{2} + 54 x + 9 y^{2} - 6 y = - 64

(a, b) = (- 3, \frac{1}{3}), r = 2

Solution steps

9 x^{2} + 54 x + 9 y^{2} - 6 y = - 64

Rewrite

9 x^{2} + 54 x + 9 y^{2} - 6 y = - 64

in the form of the standard circle equation

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

Therefore the circle properties are:

(a, b) = (- 3, \frac{1}{3}), r = 2

x^{2} + y^{2} - 6 x - 4 y - 8 = 0

x^{2} - 6 x + 9 + y^{2} - 14 y + 49 = 7.2 8^{2}

x^{2} + y^{2} - 2 x - 15 y = 0

x^{2} + y^{2} + x - 2 y = 25

(x - 1)^{2} + (y + 1)^{2} > 1

What is 9x^2+54x+9y^2-6y=-64 ?
The solution to 9x^2+54x+9y^2-6y=-64 is Circle with (a,b)=(-3, 1/3),r=sqrt(2)