Evaluate the Discriminant for the Equation $4 + 7 z ^ { 2 } = 8 z$

Multiple Choice

Evaluate the discriminant for the equation. Then use it to predict the number of distinct solutions, and whether they are rational, irrational, or nonreal complex.
- $4 + 7 z ^ { 2 } = 8 z$

A) One rational solution (a double solution)
B) Two distinct rational solutions
C) Two distinct irrational solutions
D) Two distinct nonreal complex solutions