2n^2+6=19

Solution for 2n^2+6=19 equation:

Simplifying
2n2 + 6 = 19

Reorder the terms:
6 + 2n2 = 19

Solving
6 + 2n2 = 19

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 + 2n2 = 19 + -6

Combine like terms: 6 + -6 = 0
0 + 2n2 = 19 + -6
2n2 = 19 + -6

Combine like terms: 19 + -6 = 13
2n2 = 13

Divide each side by '2'.
n2 = 6.5

Simplifying
n2 = 6.5

Take the square root of each side:
n = {-2.549509757, 2.549509757}