The blank screen could be a software or a hardware issue.
Hardware that you need to check is the battery, RAM, fan and HD.
Check the cooling fan does it come in when you use the laptop for a while.
Download
http://www.ultimatebootcd.com/ and test disk to make sure there is no
issue.
You could carry out tests to see if its a hardware or a software issue.
You could also run knoppix from the CD ROM and see if problem persists.
With some confirmed facts you could than decide whether its the software
or the hardware which is causing the problem.
