(4k+4)(2k+-4)=

Solution for (4k+4)(2k+-4)= equation:

Simplifying
(4k + 4)(2k + -4) = 0

Reorder the terms:
(4 + 4k)(2k + -4) = 0

Reorder the terms:
(4 + 4k)(-4 + 2k) = 0

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

Combine like terms: 8k + -16k = -8k
(-16 + -8k + 8k2) = 0

Solving
-16 + -8k + 8k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '8'.
8(-2 + -1k + k2) = 0

Factor a trinomial.
8((-1 + -1k)(2 + -1k)) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(-1 + -1k)' equal to zero and attempt to solve:

Simplifying
-1 + -1k = 0

Solving
-1 + -1k = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1k = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1k = 0 + 1
-1k = 0 + 1

Combine like terms: 0 + 1 = 1
-1k = 1

Divide each side by '-1'.
k = -1

Simplifying
k = -1
Subproblem 2
Set the factor '(2 + -1k)' equal to zero and attempt to solve:

Simplifying
2 + -1k = 0

Solving
2 + -1k = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1k = 0 + -2
-1k = 0 + -2

Combine like terms: 0 + -2 = -2
-1k = -2

Divide each side by '-1'.
k = 2

Simplifying
k = 2
Solution
k = {-1, 2}