Possible Duplicate:
Inverse of $y=xe^x$
I would like to solve the equation $x \cdot\mathrm e^x=1$. I know it has an answer, I could find it with a calculator, but I don't remember how to solve it on paper.
Any help?
edit
I know the answer is $x \approx 0.567143$. I don't want the answer, I want a method to find it.