Toshiba laptop help

Specs.
Model: L775D-S7222
Series: Satellite
Processor and Graphics: VISION Technology from AMD
AMD Quad-Core A6-3400M Accelerated Processor with AMD Radeon HD 6520G Graphics 1.4GHz base(2.3 GHz with AMD Turbo Core Technology), 4MB Cache
Memory: Configured with 6GB DDR3 1333MHz (max 8GB) 2 main memory slots.
Storage Drive: 500GB (5400 RPM); Serial ATA hard disk drive
Fixed Optical Disk Drive: DVD SuperMulti drive supporting 11 formats, Maximum speed and compatibility: CD-ROM (24x), CD-R (24x), CD-RW (24x), DVD-ROM (8x), DVD-R (8x), DVD-R DL (8x), DVD-RW (8x), DVD+R (8x), DVD+R DL (8x), DVD+RW (8x), DVD-RAM (5x)
Input Devices:
Premium Keyboard with 10-Keypad (black)
Touch pad pointing device with multi-touch control
Communications: 
Webcam and microphone 
10/100 Ethernet  Wi-Fi Wireless networking (802.11b/g/n)9
Hi, I have been having problems trying to get my computer to boot. Right now I am using a Surface Pro to type this but I really wanna use my laptop for gaming as you can see it is powerful enough I just don't know why it's not booting I tried everything from:
Booting without a HDD and using boot media
One more detail I forgot I found that one of my RAM sticks are corrupted so I got rid of it (finding it suspicious to why it won't boot now as in I might need it to boot) I got rid of it because it was eating my hard drives
Replacing bios battery and we'll nothing help I need this machine it was working an entire day than I turn it off that night and it seems like that was my mistake turning it off plz help

 

Can you boot to a linux live-cd and if so how does it run.
When it fails to boot do you see posting and if yes how far does it get before quitting?
That laptop is about the age where the hard drive may be dying so running checkdisk (chkdsk /r) in the drive might buy you some time. Do you know how to do that?

 

Actually it wont post period its done this B4 I tried using that thing with the holding down the power button and my screen is cracked so i use external screens and it defaults to external anyway so it's not the screen and it wont run a bootdisk at all it dosnt post I dont want to have to replace the mother board its so expensive and half the time it doesn't accept the hardware the computer has power it runs everything but it doesn't post can u help the reason why i dont wanna buy a new one is because this computer has great specs for what i need

 

If it won't post on even the external monitor then it has to be the motherboard sorry to say and with what that will cost to replace, you really should move on.

 

Ok, thank you can you recommend a external hard drive case and if you think i could sell it for parts?

 

Here ya go:
http://www.newegg.com/Product/Product.aspx?Item=N82E16817826002

 

Thank you, you have been very helpful I won't hesitate to tell my friends and family about this site.

 

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