Please see these: Before you install
Can you provide more details on how the system crashed after the first installation? What happened after you restarted it when it crashed?
What were the apps you ran before it crashed and how did you install them (through Software Store, other methods)?
Did you see #1 on the link I posted earlier? Did you verify your downloaded Zorin ISO?
@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.