3=8z^2

Solution for 3=8z^2 equation:

Simplifying
3 = 8z2

Solving
3 = 8z2

Solving for variable 'z'.

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

Add '-8z2' to each side of the equation.
3 + -8z2 = 8z2 + -8z2

Combine like terms: 8z2 + -8z2 = 0
3 + -8z2 = 0

Add '-3' to each side of the equation.
3 + -3 + -8z2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8z2 = 0 + -3
-8z2 = 0 + -3

Combine like terms: 0 + -3 = -3
-8z2 = -3

Divide each side by '-8'.
z2 = 0.375

Simplifying
z2 = 0.375

Take the square root of each side:
z = {-0.612372436, 0.612372436}