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

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Solution for (k-2)(k-4)=0 equation: 


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

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

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

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

Combine like terms: -2k + -4k = -6k
(8 + -6k + k2) = 0

Solving
8 + -6k + k2 = 0

Solving for variable 'k'.

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


Subproblem 1
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

Subproblem 2
Set the factor '(4 + -1k)' equal to zero and attempt to solve:

Simplifying
4 + -1k = 0

Solving
4 + -1k = 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 + -1k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1k = 0 + -4
-1k = 0 + -4

Combine like terms: 0 + -4 = -4
-1k = -4

Divide each side by '-1'.
k = 4

Simplifying
k = 4
Solution
k = {2, 4}

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