Google play music is always running, even after force closed.

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http://forums.androidcentral.com – I have a Samsung Galaxy s4 and despite the large battery I still struggle to make it through a day. When I check task manager, the only app running is Google play music. All the other apps close themselves after I swipe them away in the switcher menu. I store music on my card and use Samsung's built in music app with music stored on the SD. I have opened Google play music and tried to adjust settings, but it doesn't fix anything and I am not able to uninstall the app. Is there a way to uninstall without rooting? Has anyone else experienced this? Can I turn something off to keep it from r (HowTos)