(k-4)(k+4)=0

Solution for (k-4)(k+4)=0 equation:

Simplifying
(k + -4)(k + 4) = 0

Reorder the terms:
(-4 + k)(k + 4) = 0

Reorder the terms:
(-4 + k)(4 + k) = 0

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

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

Solving
-16 + k2 = 0

Solving for variable 'k'.

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

Add '16' to each side of the equation.
-16 + 16 + k2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + k2 = 0 + 16
k2 = 0 + 16

Combine like terms: 0 + 16 = 16
k2 = 16

Simplifying
k2 = 16

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