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Unfortunately, there are no herbicides on the market that selectively kill quackgrass. An all-purpose herbicide such as glyphosate will take out any greenery it touches. Wear long-sleeved clothing, chemical-resistant gloves, rubber boots, and a respirator mask, then spray the chemical directly onto the quackgrass. Keep children and pets out of the area for about 4 hours.  Glyphosate herbicides are available at most gardening centers and nurseries. To minimize the damage to other plants, use a paint brush to spread the herbicide over the leaves of the quackgrass. Spray the entire growing area a second time, even in spots where you think you have eliminated the quackgrass. The fast-growing roots may have spread back into the cleared soil from elsewhere. Using the glyphosate will leave bare spots in lawns and gardens, but at least it prevents the quackgrass from taking over your entire yard. Clear out the dead grass if you wish or till it into the soil for fertilizer. Get a rototiller and set it for a depth of at least 4 in (10 cm). Run the rototiller over the treated spots to turn up the soil, preparing it for new seeds.  Rototillers are available to rent at most home improvement stores. For smaller areas, turn up the ground with a gardening fork or another tool. Keep a close watch on the treated areas for new growth. Make sure you didn’t leave behind any quackgrass in areas you didn’t spray, since they will quickly infiltrate the bare soil. Using a plastic sheet is a last resort. If chemicals aren’t enough to stop weed growth, consider covering as much of the growing area as possible with a plastic sheet from a home improvement store. Weight it down and leave it in place for at least 6 weeks.  To treat smaller areas, cut the plastic up into patches. If the quackgrass is widespread, this won’t remove all of it, but otherwise, it saves the plants you want in your yard. Black plastic or tarps are also useful yard covers, but clear plastic traps heat more efficiently. If you use colored plastic, leave it in place for 8 to 12 weeks and check the progress before removing it. Till the soil, then spread seed over it. Choose a type of plant that grows thick and fast, such as bluegrass, buckwheat, or tall fescue. Cover the entire area with lots of seeds and treat any nearby areas that look a little thin. Then, water and fertilize the soil as needed to ensure the new plants fill in the empty soil. Another option is to turn the area into a garden. Spread thick layers of organic mulch around your new plants. Watch the mulch for signs of unwanted growth.
Spray the quackgrass with glyphosate to eliminate it. Reapply the glyphosate 14 days after the first treatment. Rough up the area and look for more quackgrass after 7 days. Smother the area with a plastic sheet if the quackgrass isn’t gone. Fill the bare areas with new plants.