Hi, Dom! This seems to be an issue for a lot of users. I did some looking, and I think this will help you!

I found this website:

http://laptopturn.com/dell-inspiron-mini...

It says your problem could be RAM failure or Processor failure, and in this laptop, those two parts are together. It could also be a faulty screen, bad wiring, graphics card failure, motherboard failure, BIOS failure. I would check the RAM/Processor assembly first. It's actually an easy and fun process to replace it.