Turns out my laptop battery was swollen for at least a year

Il Mio Problema

Battery life from 100% to 0% was 15min. Also, the trackpad was displaced by the swelling battery and it stopped working.

La Mia Riparazione

Battery and Trackpad replacements were easy enough.

Il Mio Consiglio

Take your time. Watch a video if you're unsure about a particular step