2y^2-162=0

Solution for 2y^2-162=0 equation:

Simplifying
2y2 + -162 = 0

Reorder the terms:
-162 + 2y2 = 0

Solving
-162 + 2y2 = 0

Solving for variable 'y'.

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

Add '162' to each side of the equation.
-162 + 162 + 2y2 = 0 + 162

Combine like terms: -162 + 162 = 0
0 + 2y2 = 0 + 162
2y2 = 0 + 162

Combine like terms: 0 + 162 = 162
2y2 = 162

Divide each side by '2'.
y2 = 81

Simplifying
y2 = 81

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