Choose a colour which you wish to get five matches of.
Start to make pairs of absolutely everything else, bar the colour which you want to clear.
After every move count up how many possible sets you can make in that colour, and keep clearing other colours until you have enough sets available on screen to get the five matches.
Note that any matches made via cascading after new pieces drop in to the screen WILL NOT count towards this achievement, but at the same time any cascades of different colours also won't affect your run towards the target of five.
When you have the five possible moves showing on the screen, always start clearing them from the top in case you make a mistake.
ETA The easiest mode in which to achieve this is the "ENDLESS" mode.