This is the first puzzle in the expert difficulty.
You can either beat it legit or spam hints by pressing the "H" key on your keyboard or clicking on hint in the drop down menu on the upper left corner. Two tiles will glow once you activate a hint. Click on either of them to clear the set from the board. Repeat this until the puzzle is completed. If you run out of moves you can either load up a new puzzle on the Dragon board and retry it or you can keep playing to finish it off and get some more matches to go towards your 10,000 matches achievement.