Express (4 - 5i)(5 + 5i) in the form a + bi where a and b are integers and i^2 = -1.
Distribute the equation, and you get \(20+20i-25i-25i^2\)
After simplifying, you get: \(-25i^2-5i+20\)
Substitute -1 for \(i^2\): \((-25)(-1)-5i+20\)
Simplify again, and we find that the answer is: \(\color{brown}\boxed{-5i+45}\)