Find all complex numbers $z$ satisfying the equation I need some help on this question. How do I approach this question?
Find all complex numbers $z$ satisfying the equation
$$
(2z - 1)^4 = -16.
$$
Should I remove the power of $4$ of $(2z-1)$ and also do the same for $-16$?

The answer to this problem lies in roots of a polynomial.
From an ocular inspection we know we will have complex roots and they always
Come in pairs! The power of our equation is 4 so we know will have a pair of
Complex conjugates. I believe it is called the Fundamental
Theorem.
Addendum
A key observation is how to represent -1 in its general term using Euler's identity and the concept of odd powers in EF.
