1. The problem statement, all variables and given/known data So I have happily exploring function when I got to the equation 0 = 1/2(e^(2x))-(e+1)(e^x) +ex. 2. Relevant equations Well, I guess the quadratic formula can help, although I can't seem to get to a situation where I can use it. 3. The attempt at a solution I played around until I got to t^2-(2e+2)t+2eln(t) where t=e^x. But I seem to always get stuck with that ex, which does not let me factor the e^x.