How to solve this equation?

[Jehanne]

Hey, guys!
So, in my Introduction to Robotics class, we are supposed to solve, as a part of solving an example, this equation (page 12):
1/s+1/(s+2)+1/(s+6-2i)+1/(s+6+2i)=1/(s+1)
Now, the very next step we are given goes like this:
3s^4+32s^3+106s^2+128s+80=0
I do not understand how they got from the first equation to the second one. Can somebody here explain me that?

Isolate your variable, multiply by the complex conjugate (where necessary), then find a common denominator. The rest should be self-evident. If the answer is horrifyingly wrong then I blame you for taking math advice from a geologist.

Geologists study math?

(P.S. This is a math joke.)