The question:

Find and identify the stationary points for $\displaystyle y = e^{2x}(1 - x)$

My attempt:

I differentiated the function as per here.

But I'm not sure how to solve for x when $\displaystyle y^{'} = e^{2x}(3 - 2x) = 0$. I tried using Wolfram Alpha, but it said there are no solutions. My text states that there's a minimum point at (1/2, e/2), however.

How can I solve this? Assistance is appreciated.