(2k-8)(2k+8)=0

Solution for (2k-8)(2k+8)=0 equation:

Simplifying
(2k + -8)(2k + 8) = 0

Reorder the terms:
(-8 + 2k)(2k + 8) = 0

Reorder the terms:
(-8 + 2k)(8 + 2k) = 0

Multiply (-8 + 2k) * (8 + 2k)
(-8(8 + 2k) + 2k * (8 + 2k)) = 0
((8 * -8 + 2k * -8) + 2k * (8 + 2k)) = 0
((-64 + -16k) + 2k * (8 + 2k)) = 0
(-64 + -16k + (8 * 2k + 2k * 2k)) = 0
(-64 + -16k + (16k + 4k2)) = 0

Combine like terms: -16k + 16k = 0
(-64 + 0 + 4k2) = 0
(-64 + 4k2) = 0

Solving
-64 + 4k2 = 0

Solving for variable 'k'.

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

Add '64' to each side of the equation.
-64 + 64 + 4k2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 4k2 = 0 + 64
4k2 = 0 + 64

Combine like terms: 0 + 64 = 64
4k2 = 64

Divide each side by '4'.
k2 = 16

Simplifying
k2 = 16

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