[math-fun] Help with Mathematica desired

I tried to submit this to Wolfram Alpha in correct syntax, but it never gave any indication that it had the vaguest idea that this was an equation to solve, no less the correct equation to solve for real numbers u, v, w. Solve[Exp[I(3u+v)] + Exp[I(3v+w)] + Exp[I(3w+u)] == 0, {u,v,w}, Reals] What am I doing wrong? Thanks, Dan