BSOD Occurs At Random Intervals While Browsing (Firefox)

I allowed Startup Repair to complete two times. It states that Windows cannot repair automatically.
I tried a couple of solutions.

1.

I attempted to follow the instructions for the "... infinite loop recovery", but could not find the system drive. I tried all the letters of the alphabet in command prompt, but could only find one partition on the SSD.

2.

I tried to restore, but could not get the last restore point.

3.

I tried to use a system image on my HDD, but it failed.

4.

I tried to use a DVD of the system image, but I cannot figure that out.

So, I'm presuming the last course of action is reformat?
If so, is it possible to keep one of the two partitions on the SSD, once I reformat my computer?
The one partition has Windows on it, while the other has non-Windows stuff on it.

Are the two partitions on two separate drives? If so, then unplug the drive you do not wish to reformat, and then clean install Windows from there.

Question, when asked where to install Windows, no drives are found.
How do I rectify this?

Try these steps:

• The BIOS does not detect or recognize the ATA / SATA hard drive

This thread may have some suggestions also:

• Windows 7 installation doesn't detect hard drive