...what do I do?
I recommend doing searches on DIY fixes and watching videos to see what you can do to save yourself some money and the hassle of finding a plumber.
So, both sides of my kitchen sink weren't draining. Actually they would drain but very very very slowly. It occurred after I put some grapefruit down the garbage disposal. I read articles and forums on fixing the garbage disposal. Watched videos on how to unclog sinks and fix the disposal.
Pour a ton of baking soda and watched the fizzing effect of a chemistry experiment when I poured a half cup of vinegar down the drain. Cool, but didn't work.
Put Drano down the sink. Nothing happened. Literally poured $5 down the drain.
Ready for the fix??
The good ole' plunger!! Fill up your sink with a couple inches of water (3-4 inches). What you do is have another person block the other side of the sink with a towel. The plunge away!! That's it.
If you come across the problem of both sides of the kitchen sink have ultra-slow, little to none, draining. Don't call the plumber. Grab a plunger, towel, and a friend.
Thank me later!!