Regroup with $x'\text{s}$ and y's together and the constant on the other side.

$\left(x^{2} − 10x \:+\: ?\right) + \left(y^{2} + 8y \:+\: ?\right) = − 5$

Complete the square finding the ?'s and adding the same amount on both sides.

$\left(x^{2} − 10x + 25\right) + \left(y^{2} + 8y + 16\right) = − 5 + 25 + 16$

Simplify and graph.

$\left(x − 5\right)^{2} + \left(y + 4\right)^{2} = 36$

Follow the same thinking process as part (a).