CPM Homework Help : PC3 Problem 11-107

Rewrite each of the following equations in graphing form, identify the conic, and sketch the graph. Also include all of the key information, such as the locations of the foci and/or the equations of any asymptotes.

$x^2+y^2+10x-4y=-13$
Step (a):
$(x^2+10x+?)+(y^2-4y+? )=-13+\:?\:+\:?$

$3x^2-24x-4y^2-8y+80=0$
Step (b):
$3(x^2-8x+?)-4(y^2+2y+?)=-80+3(?)-4(?)$