The Dell logo is the BIOS loading, the black screen is your bootloader and the beginning of your OS loading, and of course the Z is Zorin loading. While it could be hardware, to be honest where it's hanging for you makes me wonder about how well your Zorin video driver suits your actual hardware, based on some similar issues I had with Fedora doing the exact same thing that you describe.

I am still learning Linux myself so I am not the best person to tell you what to do, but I know where I'd start if I were in your shoes: use the lshw command (see below) to get the details on your actual hardware, specifically the graphics chip; see if anyone else is having similar problems with the same graphics hardware; and in the meantime put Mint on a LiveUSB and run Mint for a while to see if it performs better or ends up doing the same thing.

That's just beginner tips off the top of my head; I know you will get better advice if you run your problem by the Linux communities, esp because they can tell you how to capture the load process to see exactly what's causing it to hang, and I'm just guessing. But at least you now have some hints of where to start.

Quick primer on lshw: To use lshw to see your hardware specs, type at a command prompt:

sudo lshw -short

If it says it's not installed, to install it type

sudo apt-get install lshw

That will get you started, I hope. Either way, whatever you do will get you further toward a solution, whether that solution is a different distro or tweakling this one. I hope this helps.