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

Solution for (2k+8)(2k-8)= 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}