8z^2-242=0

Solution for 8z^2-242=0 equation:

Simplifying
8z2 + -242 = 0

Reorder the terms:
-242 + 8z2 = 0

Solving
-242 + 8z2 = 0

Solving for variable 'z'.

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

Add '242' to each side of the equation.
-242 + 242 + 8z2 = 0 + 242

Combine like terms: -242 + 242 = 0
0 + 8z2 = 0 + 242
8z2 = 0 + 242

Combine like terms: 0 + 242 = 242
8z2 = 242

Divide each side by '8'.
z2 = 30.25

Simplifying
z2 = 30.25

Take the square root of each side:
z = {-5.5, 5.5}