-2z^2+162=0

Solution for -2z^2+162=0 equation:

Simplifying
-2z2 + 162 = 0

Reorder the terms:
162 + -2z2 = 0

Solving
162 + -2z2 = 0

Solving for variable 'z'.

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

Add '-162' to each side of the equation.
162 + -162 + -2z2 = 0 + -162

Combine like terms: 162 + -162 = 0
0 + -2z2 = 0 + -162
-2z2 = 0 + -162

Combine like terms: 0 + -162 = -162
-2z2 = -162

Divide each side by '-2'.
z2 = 81

Simplifying
z2 = 81

Take the square root of each side:
z = {-9, 9}