2z^2-4-6=0

Solution for 2z^2-4-6=0 equation:

Simplifying
2z2 + -4 + -6 = 0

Reorder the terms:
-4 + -6 + 2z2 = 0

Combine like terms: -4 + -6 = -10
-10 + 2z2 = 0

Solving
-10 + 2z2 = 0

Solving for variable 'z'.

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

Add '10' to each side of the equation.
-10 + 10 + 2z2 = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 2z2 = 0 + 10
2z2 = 0 + 10

Combine like terms: 0 + 10 = 10
2z2 = 10

Divide each side by '2'.
z2 = 5

Simplifying
z2 = 5

Take the square root of each side:
z = {-2.236067978, 2.236067978}