I looked and looked in the BIOS but couldn't find a virtualization entry, so then I searched and read for many hours, finally finding this post.
The other answer didn't work for me so just before posting a comment (that I figured would not be seen for a year or two) I booted into my BIOS once more and thought, since I also have InsydeH20, I would confirm that there is no entry there. Low and behold I had overlooked the tiny menu bar at the top. Under the 3rd option (System Configuration) I finally stumbled on the entry I was looking for:
virtualization <disabled>
After changing that to enabled and rebooting I was finally able to see the 64-bit options in VirtualBox.
My computer:
- HP Pavillion M7
- i7-3610QM
- 8GB RAM
- BIOS=InsydeH20
- Win 10 Home
I should note, virtualization still shows disabled in the performance tab of the task manager, but Virtualbox works just fine.