(4n+8)(4n-8)=

Solution for (4n+8)(4n-8)= equation:

Simplifying
(4n + 8)(4n + -8) = 0

Reorder the terms:
(8 + 4n)(4n + -8) = 0

Reorder the terms:
(8 + 4n)(-8 + 4n) = 0

Multiply (8 + 4n) * (-8 + 4n)
(8(-8 + 4n) + 4n * (-8 + 4n)) = 0
((-8 * 8 + 4n * 8) + 4n * (-8 + 4n)) = 0
((-64 + 32n) + 4n * (-8 + 4n)) = 0
(-64 + 32n + (-8 * 4n + 4n * 4n)) = 0
(-64 + 32n + (-32n + 16n2)) = 0

Combine like terms: 32n + -32n = 0
(-64 + 0 + 16n2) = 0
(-64 + 16n2) = 0

Solving
-64 + 16n2 = 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 + 16n2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 16n2 = 0 + 64
16n2 = 0 + 64

Combine like terms: 0 + 64 = 64
16n2 = 64

Divide each side by '16'.
n2 = 4

Simplifying
n2 = 4

Take the square root of each side:
n = {-2, 2}