Please explain this solution to me (with picture)

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This is my teacher's work on how to prove a limit statement using delta-epsilon. I understand everything except the where I circled it red. How did he get rid of the term sqrt (x-5) + 2 in the denominator? Where in the world did the zero come from?

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Making the denominator smaller makes the fraction value larger.

(Sharing a pizza with less folks allows for larger slices)