4(n^2-16)=0

Solution for 4(n^2-16)=0 equation:

Simplifying
4(n2 + -16) = 0

Reorder the terms:
4(-16 + n2) = 0
(-16 * 4 + n2 * 4) = 0
(-64 + 4n2) = 0

Solving
-64 + 4n2 = 0

Solving for variable 'n'.

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

Add '64' to each side of the equation.
-64 + 64 + 4n2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 4n2 = 0 + 64
4n2 = 0 + 64

Combine like terms: 0 + 64 = 64
4n2 = 64

Divide each side by '4'.
n2 = 16

Simplifying
n2 = 16

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