What is the solution to this equation: $e^x+2x=0$ I cant find any program that actually solves this type of equations and I cant find anything helpful about this type. What is the name of these equations and how do I solve this one? Thanks.

Such an equation does not have an easy formula or a "closed form" like quadratic formula for example. If you only care about the answer, you can try to plot it as in Plot using Desmos .It turns out that it has a real root at approximately: $x=-0.352$.
Alternatively you could try a "numerical method" such as Newtons's iterative method. Such methods start at a guess and keep on improving the assumption by applying a formula. See for example:
Newton's Method.
