I want to connect an xbox 360 to my computer monitor via HDMI. If I connect my monitor via HDMI, the monitor produces picture and sound. Great, except I want to use my headphones for sound instead of the terrible integrated speakers. Clearly my monitor has a DAC inside, but I don't see any easy way to bypass the speakers by simply plugging in my headphones into a convenient jack.
Would it be possible to disconnect the speakers internally and solder the wires leading to the speakers to a female 3.5mm jack? What would possible downsides to this be?