HI ManFrom Cuba,
Welcome to the HP Forums!
I would like to take a moment and thank you for using the forum, it is a great place to find answers.
For you to have the best experience in the HP forum, I would like to direct your attention to the HP Forums Guide First Time Here? Learn How to Post and More.
I grasp that after trying to play' Need for Speed" you got a blue screen and then it rebooted. When it came back up, it is stuck on a black screen. Here is a document for Testing for Hardware Problems Using Hardware Diagnostic Tools (Windows 7). Can you boot into safe mode and try doing a Windows repair? Here is a link to the main troubelshooting page for your system. Troubleshoot a problem for HP EliteBook 8440p Notebook PC.
If this has not resolved your issue, I am sorry, but to get your issue more exposure, I would suggest posting it in the commercial forums, since this is a commercial product. You can do this at Commercial Forum/Notebook - HP ProBook, EliteBook, Compaq, Slate/Tablet PC, Armada, LTE.
I hope this helps.