2z^2-4=0

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

Simplifying
2z2 + -4 = 0

Reorder the terms:
-4 + 2z2 = 0

Solving
-4 + 2z2 = 0

Solving for variable 'z'.

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

Add '4' to each side of the equation.
-4 + 4 + 2z2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 2z2 = 0 + 4
2z2 = 0 + 4

Combine like terms: 0 + 4 = 4
2z2 = 4

Divide each side by '2'.
z2 = 2

Simplifying
z2 = 2

Take the square root of each side:
z = {-1.414213562, 1.414213562}