3z^2-22=56

Solution for 3z^2-22=56 equation:

Simplifying
3z2 + -22 = 56

Reorder the terms:
-22 + 3z2 = 56

Solving
-22 + 3z2 = 56

Solving for variable 'z'.

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

Add '22' to each side of the equation.
-22 + 22 + 3z2 = 56 + 22

Combine like terms: -22 + 22 = 0
0 + 3z2 = 56 + 22
3z2 = 56 + 22

Combine like terms: 56 + 22 = 78
3z2 = 78

Divide each side by '3'.
z2 = 26

Simplifying
z2 = 26

Take the square root of each side:
z = {-5.099019514, 5.099019514}