how to say break up from your love one?

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I don't know what to say but I really had to end the love story between me and my girl. Eventhough I love her much but I have to finished this why? I'm sure that's the questions. I met her at my place due she is my neighbour, she lives with her boyfriends, they always had a fight and her boyfriends beating her up everytime had a fight. As time goes by I get close to her and always talk to each others heart everytime her boyfriends not around, but I made a mistake on the new years eve I get drunk and she is too then we're sleep together and make love, after that happens it shows that we are care each other but no commitments . and one night I say I love her and she love me too but unfortunatelly she doesn't want to break up with her boyfriends, and don't want to loosing me too. I found naughty thought in my mind so I kept this relationships, but now I already thought with clear that actually I have to finish this relationship , what do you think folks?