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For an effective at-home cleaning, use a wet/dry vacuum (also known as a shop vac). Prepare a natural cleaning solution by mixing 1% dish soap and 5% rubbing alcohol with water (for example, 10 ml or 2 teaspoons of dish soap and 50 ml of rubbing alcohol per liter of water). Liberally spray this solution onto the affected area of the rug using a spray bottle. Gently groom the solution into the fibers with a hand brush to loosen bonded soil. The rubbing alcohol acts as a solvent to help break down oily residues, while the dish soap emulsifies dirt. Once the soil is loosened, use the narrow nozzle of the shop vac to thoroughly vacuum out the slurry (dirty cleaning solution) from the rug. If you are concerned about any residue left from the cleaning solution, you can follow up by spraying a 10% white vinegar and water solution onto the area, gently working it in, and then extracting it with the shop vac. This will help neutralize any alkalinity and remove remaining soap residue.