Random BSOD's ntoskrnl.exe

Hello,

Quick history of my PC. Bought it pre-made back in 2010, with the last 2 years i have upgraded to a SSD and a new graphics card. Within the last 2 months or so I started getting intermittent BSOD's. I decided(probably stupidly) to upgrade to Windows 10 from 7, I figured I didn't have much to lose and it may help. It appeared to help, for a while and now I get BSOD's more then ever, at least once a day. There doesn't seem to be a pattern to it, my PC may be idle while watching TV and I hear it reboot.
I attempted to run memtest86+, but I couldn't get it to boot. I was able to do it on another PC, but not the one in question.
I instead tried just running the windows memory diagnostic and it came up with nothing.

On a side note, I'm considering just scrapping the PC, and taking the GFX card and SSD and putting it into a new build if this one doesn't have an easy fix.
Thanks for any help. I've been on forums, google nonstop the last couple of days trying to get a fix but no luck, so any guidance is greatly appreciated.
Attachment 62483

Additional info:
When I was making my acct for the forum, and looking at my specs, I came across something odd. When I bought the computer I remember specifically 8 GB RAM. But now in my computer info it is telling my 6 GB, I opened the PC up and saw 4 sticks (I'm assuming 2 GB a piece). Is this some kind of trickeration(like it only shows what is usable or something) or could one of the sticks or the mobo port be bad?

Yeah I noticed that. If they don't have a windows 10 BIOS update, I should just try and run the Windows 7 version? I also don't have the installation disc since I bought it at an electronics store.
I'm starting to lean towards just scrapping the graphics card and SSD and rebuilding. The BSOD's don't have anything to do with those two right?