K(2k+3)=0

Solution for K(2k+3)=0 equation:

Simplifying
K(2k + 3) = 0

Reorder the terms:
K(3 + 2k) = 0
(3 * K + 2k * K) = 0
(3K + 2kK) = 0

Solving
3K + 2kK = 0

Solving for variable 'K'.

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

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

Subproblem 1
Set the factor 'K' equal to zero and attempt to solve:

Simplifying
K = 0

Solving
K = 0

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

Simplifying
K = 0
Subproblem 2
Set the factor '(3 + 2k)' equal to zero and attempt to solve:

Simplifying
3 + 2k = 0

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

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

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

Add '-2k' to each side of the equation.
2k + -2k = -3 + -2k

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

Simplifying
0 = -3 + -2k

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
K = {0}