I use the organic recipe found here.
How to Make Weed Killer: 6 Natural and Effective Methods
SUPPLIES
Vinegar
Dish detergent
Table salt
1-gallon jug of water
Spray bottle
The recommendation is to spray when the sun is hitting the area. It works. It's true, the solution doesn't kill the root. The sun on the solution burns the weed and the weed can no longer absorb nutrients.
I still don't have an answer for those teeny-tiny weeds that pop up everywhere. They are too small and close to other plants for any chemical and certainly for the flame thrower. And my husband would never trust me with fire. He barely trusts me with a spray bottle.
For now, re: the little teeny-tiny pop up weeds, I have taken someone else's advice and consider the hour it takes me to pull them as meditation therapy. "Serenity now".