(k-6)(k+2)=

Solution for (k-6)(k+2)= equation:

Simplifying
(k + -6)(k + 2) = 0

Reorder the terms:
(-6 + k)(k + 2) = 0

Reorder the terms:
(-6 + k)(2 + k) = 0

Multiply (-6 + k) * (2 + k)
(-6(2 + k) + k(2 + k)) = 0
((2 * -6 + k * -6) + k(2 + k)) = 0
((-12 + -6k) + k(2 + k)) = 0
(-12 + -6k + (2 * k + k * k)) = 0
(-12 + -6k + (2k + k2)) = 0

Combine like terms: -6k + 2k = -4k
(-12 + -4k + k2) = 0

Solving
-12 + -4k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-2 + -1k)(6 + -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 '(6 + -1k)' equal to zero and attempt to solve:

Simplifying
6 + -1k = 0

Solving
6 + -1k = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1k = 0 + -6
-1k = 0 + -6

Combine like terms: 0 + -6 = -6
-1k = -6

Divide each side by '-1'.
k = 6

Simplifying
k = 6
Solution
k = {-2, 6}