i tried rufus the burning process completed but the usb flash drive
don't boot
even not shown in the boot menu ( it's shown normally with other systems linux and windows )
Thank you for clarifying in your post, then you did eventually try Rufus with a successful burn, at least, according to the Rufus. Now, since this has been a Windows machine previously, this means that Secure Boot will be enabled.
I recommend going into your BIOS, and to disable secure boot, save changes, and reboot. Hopefully the USB drive will show in the list after that. Additionally, make sure that the USB drive is plugged directly into your computers USB port, don't use a USB hub.
IF you are still having issues, go back into your BIOS, and make sure that he BIOS can actually see your drive at all, and if it does, select it to boot from. If the BIOS don't see your USB drive at all, this could be a sign that your USB drive has possibly failed.
USB flash drives have limited write cycles, far more limited then SSD drives. So, if it has failed, get yourself a new USB flash drive, their cheap, and repeat the burning process.
Lastly, I also hope you double checked the SHA256 checksum hash, to insure the ISO you downloaded, that its integrity is in good shape.
From this screen, are you able to tap the e key in order to enter the grub editor? (Or... what happens if you tap tab?)
We need to try adding the grub parameter radeon.modeset=1 prior to you trying to boot Zorin OS.
Using nomodeset will fall the graphics back to the integrated card.
If the OS is not able to use the drivers for Radeon and it cannot fall back to the integrated card, nomodeset will not work.
However... I notice in your screenshot that you have Secure Boot enabled. That should be disabled in your BIOS settings.
ranoureldin6
Sadly, in the past whenever I have encountered this type of "locking in" by a manufacturer, installing Linux in general has been very difficult, even "impossible" by the standards of the average user. Even Windows decreed that Secure Boot must be accessible to the user (Prior to Win 11. MS Windows now requires Secure Boot).
You may not be able to install Linux on this particular machine. They are built for Windows.
Even if you do get it installed, with only a Radeon Graphics driver, an update that has a regression in the AMD drivers could unexpectedly crash the build, leaving you in the same position you find yourself in now.