ok so my xbox 360 turns of my itself after 5 minutes its not over heated and it sits all by its lonesome and it dust freei dont understand why this is happening I just bought in January so its not even a year old.
Have you checked the power supply case to see if the light changes colour or if their is any loose wiring?
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I'm assuming you are consulting around your xbox side (not wiring) but I will try and help with both methods.
Check if you have any power settings which may tell the xbox to turn off after so long.
If there is the disable it.
If there isn't then if your account is a child account check if the family timer is enabled - if so disable that.
Ensure your cables aren't stretching by dangling a major distance, if so this could be pulling the cable.
If this is not the issue then check the wire is in correctly.
Finally if it's non of these errors and you still have xbox warranty please contact Xbox Support.
Hope this help,
I had this issue. It was a simple plug being loose in my brick.