We are given:

There seems to be nothing I can do to simplify this equation. However, I can factor out an
since they both have at least an
. Here is what we get:

This is in the simplest form I can get into. I cannot do anything more to simplify this expression. This is your final answer.
Answer:
r = 3
Step-by-step explanation:
x^2 + 6x + y^2 - 8y = - 16
Take half the linear term and square it.
x^2 + 6x + (3)^2 + y^2 - 8y + (-4)^2 = - 16
Add the squared amounts to the right.
x^2 + 6x + 9 + y^2 - 8y + 16 = - 16 + 9 + 16
Combine on the right.
x^2 + 6x + 9 + y^2 - 8y + 16 = 9
Represent the 2 quadratics as perfect squares.
(x + 3)^2 + y - 4)^2 = 9
The radius is the square root of 9 which is 3
Answer:

Step-by-step explanation:

Subtract 67 from both sides

Hope this is helpful
Hi if you showed a picture of the circle graph I would be happy to answer your question.