Turn on your soldering iron and allow it to heat up. Once it is hot, press the tip of the iron to the both of the solder points that attach the wires to the motherboard until the solder is melted.

Once the solder is melted, use tweezers to remove the wires from the motherboard.

The solder and iron will be extremely hot. You can use tweezers to grab the wire to avoid burning your fingers from accidental contact with the iron.