[TNixon]

Duh.

I'm a retard.

The second equation (counterargument to #2) does in fact lead to an imaginary solution, but both equations in counterargument #1 are very easily solvable.

This is why I'm trying to spell out every single detail, so it's easy to poke holes when necessary.

So, with the unit conversions correctly applied:

320p + 720 - 720p = 480.
-400p = -240
p = 0.6.

Indicating that the 10BB's edge needs to be exactly the same as the 100BB's blinds's edge. Which is exactly what I would expect to see, since they're both putting in the same amount every hand ($100).

And the sanity check:

32000p + 72000 - 72000p = 48000
-40000p = -24000
p = 0.6, exactly what it was supposed to equal.

All I can say is...DURR.

But, your original equation was unsolvable because you didn't convert units correctly.

Going to look over the equations in #2 again, to see if I did something equally stupid, leading to imaginary solutions.