10n^2+6=166

Solution for 10n^2+6=166 equation:

Simplifying
10n2 + 6 = 166

Reorder the terms:
6 + 10n2 = 166

Solving
6 + 10n2 = 166

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 + 10n2 = 166 + -6

Combine like terms: 6 + -6 = 0
0 + 10n2 = 166 + -6
10n2 = 166 + -6

Combine like terms: 166 + -6 = 160
10n2 = 160

Divide each side by '10'.
n2 = 16

Simplifying
n2 = 16

Take the square root of each side:
n = {-4, 4}