I tried to post to your shared link (but don't have enough rep to answer) since it is the top google result for this laptops's 14.04 Ubuntu issues. Nevertheless, for my t440p, fwiw 14.10 desktop 64-bit worked flawlessly (see caveat below), I downloaded updates during install, installed the nvidia proprietary drivers ("updates" version) after login, and was able to launch CS: Source as a test. This is miraculous compared to the constant freezes that would occur in 14.04, requiring a hard shutdown.
Not sure what model you have, but I have the 20ANCTO1WW (4800MQ, 730M, 8GB RAM, 500GB HDD). After spending nearly an entire evening attempting to figure out how to get around the issues with this thing and 14.04 I gave up and just tried 14.10. Lenovo's website says that >= 2.26 BIOS cannot be downgraded (I have 2.28, having recently ordered the laptop). So the downgrade to 1.14 was not an option for me.
So, if you're not married to 14.04, try 14.10 and see if it works for you. Caveat: I could not get sound to work, however, it did not work in Windows either, so I'm fairly certain it's a hardware issue.
Hope that helps!
Best regards,
J