Question: How to plot the roots of a transcendental equation in a complex plane?

Hello,

I have a transcendental equation

equ := 2+(s+1)*exp(tau*s) = 0

where s is a complex variable,and the range of tau is tau = 0 .. 1, I want to plot the trajectory of every roots,namely,s, in a complex plane according to the variety of tau. I try to use the command implicitplot, but get a curve in real plane.

Can you help me?

Best regards.

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