(6k+18)(2k+38)=

Solution for (6k+18)(2k+38)= equation:

Simplifying
(6k + 18)(2k + 38) = 0

Reorder the terms:
(18 + 6k)(2k + 38) = 0

Reorder the terms:
(18 + 6k)(38 + 2k) = 0

Multiply (18 + 6k) * (38 + 2k)
(18(38 + 2k) + 6k * (38 + 2k)) = 0
((38 * 18 + 2k * 18) + 6k * (38 + 2k)) = 0
((684 + 36k) + 6k * (38 + 2k)) = 0
(684 + 36k + (38 * 6k + 2k * 6k)) = 0
(684 + 36k + (228k + 12k2)) = 0

Combine like terms: 36k + 228k = 264k
(684 + 264k + 12k2) = 0

Solving
684 + 264k + 12k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), '12'.
12(57 + 22k + k2) = 0

Factor a trinomial.
12((19 + k)(3 + k)) = 0

Ignore the factor 12.
Subproblem 1
Set the factor '(19 + k)' equal to zero and attempt to solve:

Simplifying
19 + k = 0

Solving
19 + k = 0

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

Add '-19' to each side of the equation.
19 + -19 + k = 0 + -19

Combine like terms: 19 + -19 = 0
0 + k = 0 + -19
k = 0 + -19

Combine like terms: 0 + -19 = -19
k = -19

Simplifying
k = -19
Subproblem 2
Set the factor '(3 + k)' equal to zero and attempt to solve:

Simplifying
3 + k = 0

Solving
3 + k = 0

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

Add '-3' to each side of the equation.
3 + -3 + k = 0 + -3

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

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

Simplifying
k = -3
Solution
k = {-19, -3}