2(m^2-6+9)=16

Solution for 2(m^2-6+9)=16 equation:

Simplifying
2(m2 + -6 + 9) = 16

Reorder the terms:
2(-6 + 9 + m2) = 16

Combine like terms: -6 + 9 = 3
2(3 + m2) = 16
(3 * 2 + m2 * 2) = 16
(6 + 2m2) = 16

Solving
6 + 2m2 = 16

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + 2m2 = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 2m2 = 16 + -6
2m2 = 16 + -6

Combine like terms: 16 + -6 = 10
2m2 = 10

Divide each side by '2'.
m2 = 5

Simplifying
m2 = 5

Take the square root of each side:
m = {-2.236067978, 2.236067978}