To solve the equation, we can take the square root of both sides:

√((x+8)^2) = √100

Simplifying, we have:

x + 8 = ±10

Now, we can solve for x by subtracting 8 from both sides:

x = -8 ± 10

This gives us two possible solutions:

x = -8 + 10 = 2

x = -8 - 10 = -18

Therefore, the solutions to the equation (x+8)^2 = 100 are x = 2 and x = -18.