(2k-2)x(k-4)=

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

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

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

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

Reorder the terms for easier multiplication:
x(-2 + 2k)(-4 + k) = 0

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

Combine like terms: -2k + -8k = -10k
x(8 + -10k + 2k2) = 0
(8 * x + -10k * x + 2k2 * x) = 0

Reorder the terms:
(-10kx + 2k2x + 8x) = 0
(-10kx + 2k2x + 8x) = 0

Solving
-10kx + 2k2x + 8x = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-5k + k2 + 4) = 0

Factor a trinomial.
2x((k + -4)(k + -1)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(k + -4)' equal to zero and attempt to solve:

Simplifying
k + -4 = 0

Reorder the terms:
-4 + k = 0

Solving
-4 + k = 0

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

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

Combine like terms: -4 + 4 = 0
0 + k = 0 + 4
k = 0 + 4

Combine like terms: 0 + 4 = 4
k = 4

Simplifying
k = 4
Subproblem 3
Set the factor '(k + -1)' equal to zero and attempt to solve:

Simplifying
k + -1 = 0

Reorder the terms:
-1 + k = 0

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

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

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

Simplifying
k = 1
Solution
k = {4, 1}