3z^2+3-6=0

Solution for 3z^2+3-6=0 equation:

Simplifying
3z2 + 3 + -6 = 0

Reorder the terms:
3 + -6 + 3z2 = 0

Combine like terms: 3 + -6 = -3
-3 + 3z2 = 0

Solving
-3 + 3z2 = 0

Solving for variable 'z'.

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

Add '3' to each side of the equation.
-3 + 3 + 3z2 = 0 + 3

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

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

Divide each side by '3'.
z2 = 1

Simplifying
z2 = 1

Take the square root of each side:
z = {-1, 1}