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Answer 1 · 2017-09-24T12:18:34

#x = 0#

#2xe^(x^2) = 0#

#2(0)e^(0^2) = 0#

Or alternatively:

#2xe^(x^2) = 0#

divide both sides by #e^(x^2)#

#2x = 0 => x = 0#

This is one of those cases where you can over think the problem and end up trying to solve something like this.

#2xe^(x^2) = 0#

Divide both sides by #2x#

#e^(x^2) =0#

No power of #e# can equal 0