This is a solution that involves glue but it worked perfectly for me. Get some quick dry super glue and apply some to the broken end of the headphone plug. Make sure that there is none on the sides because we sons want it to get stuck in there forever! Insert the pluck into the jack, making sure that it's perfectly connected to the broken end that's lodged. Leave that in for 5-10 mins and after that, grab the plug and tug it out. Don't pull too hard or twist. NOTE:DONT USE GORRILLA GLUE. Hopefully that helped!