z^2+2-6=0

Solution for z^2+2-6=0 equation:

Simplifying
z2 + 2 + -6 = 0

Reorder the terms:
2 + -6 + z2 = 0

Combine like terms: 2 + -6 = -4
-4 + z2 = 0

Solving
-4 + z2 = 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 + z2 = 0 + 4

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

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

Simplifying
z2 = 4

Take the square root of each side:
z = {-2, 2}