(3k-2)(k+6)=

Solution for (3k-2)(k+6)= equation:

Simplifying
(3k + -2)(k + 6) = 0

Reorder the terms:
(-2 + 3k)(k + 6) = 0

Reorder the terms:
(-2 + 3k)(6 + k) = 0

Multiply (-2 + 3k) * (6 + k)
(-2(6 + k) + 3k * (6 + k)) = 0
((6 * -2 + k * -2) + 3k * (6 + k)) = 0
((-12 + -2k) + 3k * (6 + k)) = 0
(-12 + -2k + (6 * 3k + k * 3k)) = 0
(-12 + -2k + (18k + 3k2)) = 0

Combine like terms: -2k + 18k = 16k
(-12 + 16k + 3k2) = 0

Solving
-12 + 16k + 3k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-6 + -1k)(2 + -3k) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(2 + -3k)' equal to zero and attempt to solve:

Simplifying
2 + -3k = 0

Solving
2 + -3k = 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 + -3k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3k = 0 + -2
-3k = 0 + -2

Combine like terms: 0 + -2 = -2
-3k = -2

Divide each side by '-3'.
k = 0.6666666667

Simplifying
k = 0.6666666667
Solution
k = {-6, 0.6666666667}