"Equations may not give solutions for all 'solve' variables" w/ Solve

I am currently using Mathematica for a lab. I am attempting to solve for two variables/constants named c1 and c2. c1 and c2 are supposed to be zero. When I use the Solve[] command to do this for me, I get this:

Does anyone have a clue with what I did wrong? I have a feeling that it’s just a simple syntax error, but I can’t figure it out. (Sorry, I’m still a little new to Mathematica). This was provided for me, and I did my best to translate it to Wolfram language:
2716Capture.PNG

Help would be appreciated. Thank you!

Hi Eric,

For situations like this, try Reduce.

Reduce[c1*E^x + c2*x*E^x == 0, {c1, c2}]

(* (x == 0 && c1 == 0) || (x != 0 && c2 == -(c1/x)) *)

I’ll try that, thank you! What does it do exactly?

Check documentation for SolveAlways. That might be what you want here. If not, then you are asking for more than you can get (literally), since one equation will not suffice to solve for two unknowns.