(k+4)(3k-6)=

Solution for (k+4)(3k-6)= equation:

Simplifying
(k + 4)(3k + -6) = 0

Reorder the terms:
(4 + k)(3k + -6) = 0

Reorder the terms:
(4 + k)(-6 + 3k) = 0

Multiply (4 + k) * (-6 + 3k)
(4(-6 + 3k) + k(-6 + 3k)) = 0
((-6 * 4 + 3k * 4) + k(-6 + 3k)) = 0
((-24 + 12k) + k(-6 + 3k)) = 0
(-24 + 12k + (-6 * k + 3k * k)) = 0
(-24 + 12k + (-6k + 3k2)) = 0

Combine like terms: 12k + -6k = 6k
(-24 + 6k + 3k2) = 0

Solving
-24 + 6k + 3k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + 2k + k2) = 0

Factor a trinomial.
3((-4 + -1k)(2 + -1k)) = 0

Ignore the factor 3.
Subproblem 1
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
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 = {-4, 2}