5n^2+6=8

Solution for 5n^2+6=8 equation:

Simplifying
5n2 + 6 = 8

Reorder the terms:
6 + 5n2 = 8

Solving
6 + 5n2 = 8

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 + 5n2 = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 5n2 = 8 + -6
5n2 = 8 + -6

Combine like terms: 8 + -6 = 2
5n2 = 2

Divide each side by '5'.
n2 = 0.4

Simplifying
n2 = 0.4

Take the square root of each side:
n = {-0.632455532, 0.632455532}