You would need to configure TeamSpeak to get its input from the Stereo Mix rather than your microphone. I'm not too familiar with TeamSpeak so you'll need to figure that out on your own, sorry.
System Manufacturer/Model Number Hewlett-Packard OS Windows 7 Professional x64 CPU Intel Core 2 Duo P8400 2.26GHz Memory 4GB Graphics Card NVIDIA GeForce 9600M GT Sound Card Integrated Sound Monitor(s) Displays 17" Laptop Display
Hard Drives 1 x Intel X-25M G2 80GB SSD
1 x Western Digital WD3200BEKT 320GB 7200rpm