8n^2-6=306

Solution for 8n^2-6=306 equation:

Simplifying
8n2 + -6 = 306

Reorder the terms:
-6 + 8n2 = 306

Solving
-6 + 8n2 = 306

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 = 306 + 6

Combine like terms: -6 + 6 = 0
0 + 8n2 = 306 + 6
8n2 = 306 + 6

Combine like terms: 306 + 6 = 312
8n2 = 312

Divide each side by '8'.
n2 = 39

Simplifying
n2 = 39

Take the square root of each side:
n = {-6.244997998, 6.244997998}