2z^2-4+2=0

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

Simplifying
2z2 + -4 + 2 = 0

Reorder the terms:
-4 + 2 + 2z2 = 0

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

Solving
-2 + 2z2 = 0

Solving for variable 'z'.

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

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

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

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

Divide each side by '2'.
z2 = 1

Simplifying
z2 = 1

Take the square root of each side:
z = {-1, 1}