The led flashes should be timed (like Morris Code). That timing should tell you what is faulty in your main circuit board.
Since this is a laptop you can remove some things like the DVD, Hard Drive, RAM, and USB devices and try to power on the laptop. See if you get different errors. For example you may get beeps with the RAM out. The pattern of the LED's will be critical to diagnose the issue.
I think the main circuit board (aka motherboard) may need to be replaced.