When installing Solidworks 2015 SP05 on a fromscratch machine regardless of the type (administrative or standard image), an SWregistrationProcess error falls.
It's an HP Z400 12GB Windows 7 machine
The prerequisites seem to be ok, and the drivers for the Nvidia Quadro 4000 graphics card have been updated from the Solidworks website.
I think you should raise the level of the SOLIDWORKS installation logs, see attachment to do this (check high level and create Windows Installer logs)
You will probably have more precision in the Windows Installer logs, for example if a registry key cannot be created, the Windows Installer log will tell you which one and you can then assign or re-assign additional rights in the parent registry key that is causing the problem.
Attach the logs that this will create for you and I'll take a look if you want.