follow out

follow out  {v. phr.},  {informal}

1. To do fully; finish (what you are told to do.)

The boy followed out the instructions and made a fine model plane.

Compare: FOLLOW THROUGH.

2. To keep working at (something) until it is finished; give (something) your attention until it comes to an end or conclusion.

The student followed out all the index references in the encyclopedia until he found what he wanted to know.

Compare: FOLLOW UP.