3z^2-158=205

Solution for 3z^2-158=205 equation:

Simplifying
3z2 + -158 = 205

Reorder the terms:
-158 + 3z2 = 205

Solving
-158 + 3z2 = 205

Solving for variable 'z'.

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

Add '158' to each side of the equation.
-158 + 158 + 3z2 = 205 + 158

Combine like terms: -158 + 158 = 0
0 + 3z2 = 205 + 158
3z2 = 205 + 158

Combine like terms: 205 + 158 = 363
3z2 = 363

Divide each side by '3'.
z2 = 121

Simplifying
z2 = 121

Take the square root of each side:
z = {-11, 11}