The text provided does not show specific programming code but...

The text provided does not show specific programming code but rather appears to describe a mathematical equation ("-20z^2 + 44z + 48") that you are attempting to solve (factor completely).

If you have actual code written in a programming language for factoring this equation, please share that. If this is meant as a purely mathematical problem, you'd need to factor it out manually or use software such as Python’s sympy library to do so. Please clarify or provide the programmatic code if applicable.