Comment #1 on issue 3735 by [email protected]: solve misses some solutions
http://code.google.com/p/sympy/issues/detail?id=3735

I wouldn't look to solve to solve this resulting bi-cubic in the too near future.

I would check for a way to deflate the system (remove the found root) before trying to find the next root with nsolve. You might look at http://en.wikipedia.org/wiki/Root-finding_algorithm.

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