Clogged Kitchen and laundry drains

I was doing laundry.

Washer machine was draining and overflowed out of the washer drain.

Kitchen sinks were full of water and overflowing.

Kitchen and laundry flooded through the floor and into my garage.

The rest of the house is fine and the drains of the toilets, showers don’t overflow either. This tells me it’s a clog where the kitchen and laundry meet.

I can’t get a snake into my laundry drain past 2ft and it’s clean. I tried drain opener for both laundry and kitchen. Poured boiling hot water down the drains and still nothing.

How do I go about this? What’s the problem and solution?