These instructions explain how you can remove the LCD screen and replace the backlight bulb (aka CCFL tube) in a HP Pavilion zv5000 series laptops. Also, this disassembly guide should work for Pavilion zv6000 series.

Backlight bulb failure symptoms.

For about a month or so, my back light starts off as red on startup and slowly returns to normal (white). This can take as much as 30 seconds to a minute. Much recently, my backlight has been turning off randomly, but the frequency has been slowly increasing. As of yesterday - I noticed a high pitched hum sound just before the light kicked off. My light would come on instantly if I hit the screen position switch. And lastly, if I turned the brightness down, most of the symptoms disappears - except the back light had a red tinge to it.

If the backlight bulb in your laptop is failing, you have two options:
1. You can disassemble the display panel, remove the LCD screen, disassemble the screen and replace the backlight bulb. The backlight bulb itself is not expensive, you can find it here for about $15-20, but it’s hard to replace. The backlight bulb is located deep inside the LCD screen and you can easily damage the screen during the disassembly process. I wouldn’t recommend this repair to a novice. I would attempt replacing the backlight lamp only as a last resort.
2. Replace the LCD screen. This repair will cost you more but it’s much easier to replace the whole LCD screen. You can find a new or used LCD screen replacement or other display parts here.

Also, you can use this instructions for replacing the video cable and display hinges.

The author said:

however the bulb should always be replaced when the inverter is replaced

I cannot agree with this statement. You can replaced these two parts separately from each other. If your inverter board is dead but there is nothing wrong with the backlight bulb, you can replace just the inverter.

Here’s another guide for HP Pavilion zv5000 laptop. How to remove keyboard and replace memory.