Finding another solution from the symbolics' hint ?

If you mean understanding the math behind, labert W -function, complex analysis, etc. I think its better to rely on one or more of the many books about this subject rather than watching mathcad struggle with the tasks.

If you mean understanding how to work with Mathcad's symbolics, then you already have learned that Mathcad and especially its symbolics is rather weak when it come to more complex (pun intended) problems and it ever so often fails to provide a solution, provides only part of the solution and in some rare cases even provides a wrong solution.