2(n^2-9)=0

Solution for 2(n^2-9)=0 equation:

Simplifying
2(n2 + -9) = 0

Reorder the terms:
2(-9 + n2) = 0
(-9 * 2 + n2 * 2) = 0
(-18 + 2n2) = 0

Solving
-18 + 2n2 = 0

Solving for variable 'n'.

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

Add '18' to each side of the equation.
-18 + 18 + 2n2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 2n2 = 0 + 18
2n2 = 0 + 18

Combine like terms: 0 + 18 = 18
2n2 = 18

Divide each side by '2'.
n2 = 9

Simplifying
n2 = 9

Take the square root of each side:
n = {-3, 3}