Before soldering the wires back onto the speakers, first the soldering iron must be prepared by cleaning the tip of the soldering iron with a damp sponge or rag.

Refer to the iFixit guide How to Solder and Desolder Connections for additional help with soldering.

After soldering iron is hot, touch the tip of the soldering iron to the end of the soldering wire. This will "tin" the tip of the soldering iron and will help to create a better solder.

Place the soldering iron back on its stand until it is needed.