The equation x^2 - 0.16 = 0 can be simplified by adding 0.16 to both sides:

x^2 = 0.16

Taking the square root of both sides:

x = ±√0.16

x = ±0.4

Therefore, the solutions to the equation x^2 - 0.16 = 0 are x = 0.4 and x = -0.4.