Simplify the given expression:

2 divided by the quantity of 2 plus 5i

The given expression "2 divided by the quantity of 2 plus 5i" can be translated as 2 / (2+5i). Simplifying expressions aim is to simplify it into its simplest form. Since i = √-1 substitute it into the expression.

2 / (2+5√-1)

then multiply it by 2-5√-1 on the numerator and denominator and we have

[2 (2 - 5√-1) ] / [4 - 25 (1) ]

(4-10√-1) / (-21)