@Jesusito . Some questions:
Using Gparted, how many partitions do you have set up on that HP probook 440 g3 laptop ?
Are you intending to dual-boot Zorin 15.3Core alongside Windows or another OS?
Did you try an install using the "Something Else" method?
It also appears that you are definitely not alone:
HP, of course, denies all responsibility.
This writer says he struggled with a very similar model but finally managed to get Ubuntu installed (Zorin OS is built off of Ubuntu) by using Boot Repair.
Try disabling the splash screen to see what's happening during the init process or when it hangs try to ctrl + alt + f1 to switch in terminal mode to see what really is happening.
I am sorry. I thought when you acknowledged the link, you saw it listed possible solutions. I should have clarified that.
It listed these two suggestions:
sudo nano /etc/default/grub
Edit grub. Add pci=noaer at the end of GRUB_CMDLINE_LINUX_DEFAULT. Line will be like this: GRUB_CMDLINE_LINUX_DEFAULT="quiet splash pci=noaer"
Hit ctrl+x to exit, then hit the y key to say yes to save, then the enter key to save as current configuration.
sudo update-grub
Reboot now
Suggestion Two: Identical to the above, but replace pci=noaer with pci=nommconf