Alienware laptop not booting up

Hi all, 

Wondering if I can get some help! I am on a M17x Alienware laptop, which I have had for the past two years and have had no issues with prior to today. I was playing a game when it crashed and shut down all of a sudden. It will then display all the normal lights on the keyboard, but the screen is blank. I tested to see if it was something wrong with the display by plugging into my tv as a second monitor as I have done in the past via HDMI but it did nothing happened so I have ruled out it being a display issue.

Following this, I have shut down and restarted numerous times, but nothing changes. I then hold down F8 when I am booting it up, and it beeps several times before taking me to the System Recovery Options (after I have navigated through the language options, etc) the screen is very pixelated and flashing a lot, which I'm not sure if that means anything.

I have now done the system repair, but it said it could not find any issues. Following this, I have also tried the option System Restore, and restored to an earlier update, but the most recent says it cannot be completed, and an update prior to this that I selected has not seemed to change anything, as it is still not booting. 

There are other options such as command prompt but I am not sure what to put in, or the Alienware respawn and restore emergency backup, which says it will restore your computer to factory state, but do not want to lose any files. Can anyone help?