You can try some USB Audio Card for under 10 bucks or try some USB Headset next.
Both of my kids have this laptop for school. I keep buying headphones but they blow out in 1-10 uses. I took one laptop to the shop and was told that the plug went too deep and would short out. He said there was no solution because the receptacle is built into the motherboard. He said to just push it in only far enough to get sound but not til it clicked in. He also said that i should be happy that this "short" does not blow the motherboard. I am still buying several headphones every month. Is there a solution?