Find spectrum given a potential. I have the solution, just need explanation.

[lalover]

Homework Statement

My teacher posted this solution. It is exactly what I had, except I did not have 4Pi in the numerator. Rather, I had 2 instead of 4, and I didn't have Pi. The solution manual has had mistakes before, so I am wondering if that's what the case is here. Every other step, I had identical. Can anyone please verify this? The question is the first attachment, and the solution is the other.

Homework Equations

The Attempt at a Solution

 

[lalover]

Ohh never mind I was misreading something. Sorry, no help is needed. Thanks.