Remove the air cleaner from the lawn mower using a socket and ratchet. It is a square black box on the top of the engine with a single bolt holding it in place.
Locate the governor near the carburetor. On the Weed Eater lawn mower, this is a flat piece of metal sticking straight up and down with holes in it to hold the two springs. You will see the springs if they are not broken.
Remove the two springs, or what remains of the broken springs using a pair of needle-nose pliers. Install the new springs into the hooks using the needle-nose pliers to stretch them between the two sides. The long spring goes on top and the shorter one on the bottom.
Start the mower while the air cleaner is still off. Listen to the mower run. If it sounds like it is sluggish or wants to stall, adjust the governor by slightly bending the flat arm to the left using a pair of needle-nose pliers.
Replace the air cleaner on the Weed Eater Lawn mower and tighten the bolt using a socket and ratchet.