Comment #8 on issue 3699 by smi...@gmail.com: solve() should be able to tell you when it knows it's found all the solutions
http://code.google.com/p/sympy/issues/detail?id=3699

Are we going to have a None possibility? Is it possible to know if you have all solutions or not? e.g. x*cos(3) - 3*cos(x) has a solution of x = 3...would this have been detected by the not-yet-written algorithm that seeks to answer that question? It seems reminiscent of the impossibility of proving that A == B with a fixed algorithm. Perhaps if an expression doesn't involve trascendentals, then we know. Or if it contains a single or certain types of transcendental functions (exp(x), log(x)) then we know, otherwise we won't/can't/don't know?

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