3n^2+6=11

Solution for 3n^2+6=11 equation:

Simplifying
3n2 + 6 = 11

Reorder the terms:
6 + 3n2 = 11

Solving
6 + 3n2 = 11

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 + 3n2 = 11 + -6

Combine like terms: 6 + -6 = 0
0 + 3n2 = 11 + -6
3n2 = 11 + -6

Combine like terms: 11 + -6 = 5
3n2 = 5

Divide each side by '3'.
n2 = 1.666666667

Simplifying
n2 = 1.666666667

Take the square root of each side:
n = {-1.290994449, 1.290994449}