4(Z^2-2)=3

Solution for 4(Z^2-2)=3 equation:

Simplifying
4(Z2 + -2) = 3

Reorder the terms:
4(-2 + Z2) = 3
(-2 * 4 + Z2 * 4) = 3
(-8 + 4Z2) = 3

Solving
-8 + 4Z2 = 3

Solving for variable 'Z'.

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

Add '8' to each side of the equation.
-8 + 8 + 4Z2 = 3 + 8

Combine like terms: -8 + 8 = 0
0 + 4Z2 = 3 + 8
4Z2 = 3 + 8

Combine like terms: 3 + 8 = 11
4Z2 = 11

Divide each side by '4'.
Z2 = 2.75

Simplifying
Z2 = 2.75

Take the square root of each side:
Z = {-1.658312395, 1.658312395}