There is no way to solve it algebraically. Your calculator has employed a numerical method to find an approximation
I'm just wondering if there's a way to solve this equation algebraically:
My calculator gives me that x is approximately -0.567.
I suspect that if there's a way to solve this it probably has something to do with complex numbers, but I don't know as I haven't started using them yet.
And btw, is there something wrong with Latex, or is it just my computer that is getting a little anxious over something?
where W(x) is the Lambert W-function:
solve Exp[x] + x = 0 - Wolfram|Alpha