2z^2-6=0

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

Simplifying
2z2 + -6 = 0

Reorder the terms:
-6 + 2z2 = 0

Solving
-6 + 2z2 = 0

Solving for variable 'z'.

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

Add '6' to each side of the equation.
-6 + 6 + 2z2 = 0 + 6

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

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

Divide each side by '2'.
z2 = 3

Simplifying
z2 = 3

Take the square root of each side:
z = {-1.732050808, 1.732050808}