What is 16x^2+96x+16y^2-14y=315 ?

The solution to 16x^2+96x+16y^2-14y=315 is Circle with (a,b)=(-3, 7/16),r=(sqrt(7393))/(16)

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16x^2+96x+16y^2-14y=315

16 x^{2} + 96 x + 16 y^{2} - 14 y = 315

(a, b) = (- 3, \frac{7}{16}), r = \frac{7393}{16}

Solution steps

16 x^{2} + 96 x + 16 y^{2} - 14 y = 315

Rewrite

16 x^{2} + 96 x + 16 y^{2} - 14 y = 315

in the form of the standard circle equation

(x - (- 3))^{2} + (y - \frac{7}{16})^{2} = (\frac{7393}{16})^{2}

Therefore the circle properties are:

(a, b) = (- 3, \frac{7}{16}), r = \frac{7393}{16}

3 x^{2} + 3 y^{2} - 18 x - 30 y - 6 = 0

x^{2} + y^{2} - 22 x + 26 y + 254 = 0

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

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

(x - 1)^{2} + (y - 3)^{2} = 25

What is 16x^2+96x+16y^2-14y=315 ?
The solution to 16x^2+96x+16y^2-14y=315 is Circle with (a,b)=(-3, 7/16),r=(sqrt(7393))/(16)