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 = -8
-8 + z2 = 0

Solving
-8 + z2 = 0

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 + z2 = 0 + 8

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

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

Simplifying
z2 = 8

Take the square root of each side:
z = {-2.828427125, 2.828427125}