This page of our Control guide contains a walkthrough for a side mission called What a Mess: Burn the Trash. You will learn, e.g. where to find the barrels and how to destroy them in the Furnace Chamber.
To begin the quest, pick it up from the board in Janitor's Office.
Walkthrough: Go to the Furnace Chamber room in Sector: Maintenance. There, you'll find a large furnace - your task is to locate the distinctive barrels with a green symbol. Grab them using telekinesis.
Go to the furnace and throw the barrels right into the fire. Repeat the trick a few times - the barrels are easily found.
As a reward, you will receive crafting materials, weapon modifications, and 2 skill points.