Planting Seeds After Using Vinegar for Weeds?

I was looking for a weed killer that would kill a grass like weed, but it is not grass. I found this homemade recipe:

• 1 gallon of distilled vinegar
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• 1 tablespoon of liquid dish soap

I honestly don't know what to do. This weed is everywhere this year - all over my neighbor's yard and in different parts of town. It's invasive and is starting to edge into my little patch of lawn. I want to get rid of it and plant some wildflowers and wild grass seed.

I reread some of the comments, I am now concerned that the vinegar will stay in the soil way longer than the time frame I need. How long do I need to wait after application to plant seeds in the same area?

Thanks!

Hardiness Zone: 5b

By mindy