Can try to reflow it for you. As a fellow TJ member you can bring like JMD$2,000 so I can buy back some liquid flux. Mandeville. PM me. Otherwise try these:
http://www.ebay.com/itm/Fujitsu-Siem...QAAOSwMmBV1Ldj
http://www.ebay.com/itm/FUJITSU-SIEM...wAAOSwWKtUv6Jk
http://www.ebay.com/itm/SCHEDA-VIDEO...IAAOxycmBSwS8M
You could also just search for some other compatible graphics card for that machine. This model uses MXM Type 1 if I'm not mistaken.
https://en.wikipedia.org/wiki/Mobile_PCI_Express_Module
You'd have to do some digging on eBay. Just make sure it's MXM-I and not any of the others. If you have the original card (you should) just make sure you look at it and it matches - the connector and screw holes.
http://www.ebay.com/sch/i.html?_odkw...I+gpu&_sacat=0
Knowing the solution doesn't mean knowing the method. Yet answering correctly and regurgitation are considered "learning" and "knowledge".