To solve -5m^2 = -405, we can start by isolating the variable m^2 by dividing both sides by -5:
m^2 = 81
Next, we can take the square root of both sides (remembering to include both the positive and negative square roots since m^2 can be positive or negative):
m = ±9
Therefore, the solutions to the equation -5m^2 = -405 are m = -9 and m = 9.