Chosen Solution

My friend broke his headphone jack in the headphone slot, soo how do you take a broken headphone jack out of the headphone slot?

@nytryder26 you might be able to open it and push the broken pin out from the top of the connector

Are you willing to replace the headphone jack? If so, follow the dissasembly guide. Screw off the back motherboard after everything is taken apart, and then you should be able to just take the headphone jack out and put the new one in. They are loose, so no soldering required.