(2k-2)(8k+4)=

Solution for (2k-2)(8k+4)= equation:

Simplifying
(2k + -2)(8k + 4) = 0

Reorder the terms:
(-2 + 2k)(8k + 4) = 0

Reorder the terms:
(-2 + 2k)(4 + 8k) = 0

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

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

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

Solving for variable 'k'.

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

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

Ignore the factor 8.
Subproblem 1
Set the factor '(-1 + -2k)' equal to zero and attempt to solve:

Simplifying
-1 + -2k = 0

Solving
-1 + -2k = 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 + -2k = 0 + 1

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

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

Divide each side by '-2'.
k = -0.5

Simplifying
k = -0.5
Subproblem 2
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
Solution
k = {-0.5, 1}