The trackpad controller (orange box) can be removed with two Phillips screws (red circles) and the removal of some grounding tape (silver, in pink box).

The grounding tape is kinda sticky, but is very important! The trackpad won't work if it's not connected properly, so when re-assembling, be careful to correctly replace this.

The trackpad (image 2, in orange) can be removed by pressing it out through the topside of the case (i.e. when the computer is opened).