4s^2-256=0

Solution for 4s^2-256=0 equation:

Simplifying
4s2 + -256 = 0

Reorder the terms:
-256 + 4s2 = 0

Solving
-256 + 4s2 = 0

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Add '256' to each side of the equation.
-256 + 256 + 4s2 = 0 + 256

Combine like terms: -256 + 256 = 0
0 + 4s2 = 0 + 256
4s2 = 0 + 256

Combine like terms: 0 + 256 = 256
4s2 = 256

Divide each side by '4'.
s2 = 64

Simplifying
s2 = 64

Take the square root of each side:
s = {-8, 8}