Question

what happens when i get 0=12. Is that infinitly many solutions or no solution?

Answer 1

if you get a falsehood that means no solution (i.e. situation impossible)
if you get something that is always true, like 0=0, that would be infinite solutions

Answer 2

no solution. If you got something like 12=12 that would be infinitely many solutions.

Answer 3

note that 12=12 can always be reduced to 0=0
...at least that's how I like to think about it :)

Answer 4

Thank you !