I had the same problem with my HP tx2000, I downloaded the alternate installer and it worked. it should let you at least install ubuntu.
If you still get a black or flickering screen after the installation, try changing the boot options:
1) If the menu doesn't appear and boots straight into Ubuntu, restart and press the Shift key until the menu appears.
2) Select the Ubuntu default kernel (usually the first option) and press the E key to edit.
3) Go to the end of the line that contains the kernel (starts with linux/boot/vmlinuz) by pressing End.
4) type nomodeset
5) Press Ctrl+X to boot
If that doesn't work, try using the option acpi=off.
Once you boot into Ubuntu, make sure you have internet connection. Ubuntu will detect and show you in a window the hardware that requires restricted (i.e not open source) drivers. It will then download and install them.