8=0.5z^2

Solution for 8=0.5z^2 equation:

Simplifying
8 = 0.5z2

Solving
8 = 0.5z2

Solving for variable 'z'.

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

Add '-0.5z2' to each side of the equation.
8 + -0.5z2 = 0.5z2 + -0.5z2

Combine like terms: 0.5z2 + -0.5z2 = 0.0
8 + -0.5z2 = 0.0

Add '-8' to each side of the equation.
8 + -8 + -0.5z2 = 0.0 + -8

Combine like terms: 8 + -8 = 0
0 + -0.5z2 = 0.0 + -8
-0.5z2 = 0.0 + -8

Combine like terms: 0.0 + -8 = -8
-0.5z2 = -8

Divide each side by '-0.5'.
z2 = 16

Simplifying
z2 = 16

Take the square root of each side:
z = {-4, 4}