I had a toilet clog that I could not see. I plunged and plunged and plunged, went to the dry cleaner to get a wire hanger, you name it. Nothing worked.
Someone suggested putting a cup of dishwashing liquid in the bowl and flushing, then let the bowl fill up again (thought it was going to overflow!) and put another cup in and let it sit for a couple of hours. Then flush.
The snake can be a useless piece of junk if you have extended (and convoluted) piping. There are some specific cleaning products just for unclogging, you pour half of the bottle in, wait a few hours and rinse. Available at every supermaket.
In my experience, along that path lies madness. And much anger.
Had this one clog that just… would… not… let… loose. So I bought this thing from Home Depot that had a compressed air capsule. Put that thing in the toilet, pushed the trigger, and BAM! That clog was an unclog!
I dunno, Pyper - the detergent basically breaks down any solidified fats. I have had success with bi-carb soda and white vinegar for bathtub blockages though.
Toilet clogs usually are lots of poop and lots of paper. Detergent and time will usually loosen that up. Bathtub clogs are the stuff you wash off yourself, that is skin oil, hair oil, soap and hair, all mooshed together. It all turns black after a while. Detergent and a plunger might work on that, too, but the plunger is the more active part.
Remember to cover the overflow drain with a wet cloth while plunging. Sometimes that makes it a two-person job. The pulling up stroke is usually more important than the push.