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Ellipses : Vertices, Foci and Eccentricity

1) 9x^2+4y^2+36x-24y+36=0

The answer is as following:

Vertices: (-2,6), (-2,0)

Foci: (-2, 3+or -√5)

Eccentricity: √5/3

I have listed the answers for no. 1 above, but don't understand the steps. Please explain.

2) x^2+5y^2-8x-30y-39=0
Center: (4, 3)
Vertices:
(-6, 3), (14, 3)
Foci: (4 + or - 4√5, 3)
Eccentricity: (2√5)/5

3) x^2+4y-6x+20y-2=0

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Solution Summary

Ellipses, Vertices, Foci and Eccentricity are investigated. The solution is detailed and well presented.

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