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

Reorder the terms:
3 + z2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + z2 = 0

The solution to this equation could not be determined.