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You need to use the white numbers to deduce how many damage points there are in each square. For ex, in the upper-left area, the white 7 tells you that the one square diagonal to it has 7 damage, which means the square to the right of it must be a 3 (in order to add up to the white 10 touching both squares). You can also use the white 2 nearby to find a 2 damage square. Combine that with the 7 and the 3 and you get 12; since all three touch the white 12, that means the 4th square it touches must be empty. (Ofc you also know it's empty because there's a white 15 touching it on the other side that's already accounted for by the dragon square, but it's an example of the sort of deduction you need to do).

Like Minesweeper, it is possible to get into situations where it's impossible to figure out without guessing. But it's a lot easier to work out if you right-click squares to mark how much damage you think they have. (Use the "X" that comes after 10 to mark mines)