8n^2-162=0

Solution for 8n^2-162=0 equation:

Simplifying
8n2 + -162 = 0

Reorder the terms:
-162 + 8n2 = 0

Solving
-162 + 8n2 = 0

Solving for variable 'n'.

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

Add '162' to each side of the equation.
-162 + 162 + 8n2 = 0 + 162

Combine like terms: -162 + 162 = 0
0 + 8n2 = 0 + 162
8n2 = 0 + 162

Combine like terms: 0 + 162 = 162
8n2 = 162

Divide each side by '8'.
n2 = 20.25

Simplifying
n2 = 20.25

Take the square root of each side:
n = {-4.5, 4.5}