8n^2+6=222

Solution for 8n^2+6=222 equation:

Simplifying
8n2 + 6 = 222

Reorder the terms:
6 + 8n2 = 222

Solving
6 + 8n2 = 222

Solving for variable 'n'.

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

Add '-6' to each side of the equation.
6 + -6 + 8n2 = 222 + -6

Combine like terms: 6 + -6 = 0
0 + 8n2 = 222 + -6
8n2 = 222 + -6

Combine like terms: 222 + -6 = 216
8n2 = 216

Divide each side by '8'.
n2 = 27

Simplifying
n2 = 27

Take the square root of each side:
n = {-5.196152423, 5.196152423}