2=8n^2

Solution for 2=8n^2 equation:

Simplifying
2 = 8n2

Solving
2 = 8n2

Solving for variable 'n'.

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

Add '-8n2' to each side of the equation.
2 + -8n2 = 8n2 + -8n2

Combine like terms: 8n2 + -8n2 = 0
2 + -8n2 = 0

Add '-2' to each side of the equation.
2 + -2 + -8n2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -8n2 = 0 + -2
-8n2 = 0 + -2

Combine like terms: 0 + -2 = -2
-8n2 = -2

Divide each side by '-8'.
n2 = 0.25

Simplifying
n2 = 0.25

Take the square root of each side:
n = {-0.5, 0.5}