Is this equation only solvable by trial and error?

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This equation comes from an accounting textbook, in a chapter regarding nominal and effective interest rates.

The following equation is presented: $0.035 = (1+2/M)^M$

The text then indicates the problem was solved by trial and error?

Why it not possible to solve for M in this case? Is there a term for such equations and would the software 'Maple' have a command for solving such equations?