4z^2-484=0

Solution for 4z^2-484=0 equation:

Simplifying
4z2 + -484 = 0

Reorder the terms:
-484 + 4z2 = 0

Solving
-484 + 4z2 = 0

Solving for variable 'z'.

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

Add '484' to each side of the equation.
-484 + 484 + 4z2 = 0 + 484

Combine like terms: -484 + 484 = 0
0 + 4z2 = 0 + 484
4z2 = 0 + 484

Combine like terms: 0 + 484 = 484
4z2 = 484

Divide each side by '4'.
z2 = 121

Simplifying
z2 = 121

Take the square root of each side:
z = {-11, 11}