Dawn should work, but it might create further problems. It has a bad tendency to attract dirt and will make the cleaned area turn dark again. It's very difficult to rinse it all away. Tide sounds like a better idea. There are instructions on the box of powder for mixing it into a paste to pretreat soils. It won't foam as much as Dawn and can be removed more easily with an extractor, and by design it rinses easily. You might even be able to let it dry and vacuum up the majority of it.