Standard Equation of an Ellipse

I am having trouble finding the standard form of an ellipse, being given the following equation:

I know that I have to group terms and complete the square to make it fit the standard form of an ellipse:

So I get to this and have been stuck:

I don't think I can just factor out the 12, and have , so I tried factoring out the 36:

in which I got <---which I got from

So then I get

Does this mean that ? Is that even possible? And if so, does this mean that the center is ?

In this case then, the major axis is vertical, correct? So the foci would be and the vertices would be and ?

Compared to what we've been learning in class (even though we haven't really even talked about it all that much), this all just seems too complicated to be correct, so I was didn't know if there was just something I was doing wrong or overthinking something.

Any help would be appreciated.