snip off the ends.
the raw wire has a shield and then a single *very, very thin* conductor inside. the conductor is the HOT signal.
there is also a lot of fiber built into the wire that you need to remove.
You'll need a good wire stripper.
tiny bathroom type scissors for snipping the fabric away.
do this for each wire. you now can solder on to your stereo plug.
twist up the two shields together and that becomes the ground.
or...PM me. I'll do it for you if you dont want to deal w/it.