"Quedar" (stay) + "se" (reflective proposition) means with oneselfe or anybody.
"Quedarse solo" (being alone)
"Quedar con alguien" (meet someone)
2011年3月30日
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"quedarse" has different meanings depend of the context... have a look at this link, for me wordreference is the best online dictionary for resolving my doubts
http://www.wordreference.com/es/en/translation.asp?spen=quedarse
You can check all differents conjugations form for all spanish verbs.