Number of Solutions of $3\cos^2(x)+\cos(x)-2=0$ I'm trying to figure out how many solutions there are for 
$$3\cos^2(x)+\cos(x)-2=0.$$ 
I can come up with at least two solutions I believe are correct, but I'm not sure if there is a third.

Unfortunately, there are infinitely many solutions. Note, for example, that $\pi$ is a solution. Then we also have that $\pi + 2k \pi$ is a solution for all $k$. But between $0$ and $2\pi$, there are 3 solutions.
