ln(4*k)+6*k=0

Solution for ln(4*k)+6*k=0 equation:

Simplifying
ln(4k) + 6k = 0

Remove parenthesis around (4k)
ln * 4k + 6k = 0

Reorder the terms for easier multiplication:
4ln * k + 6k = 0

Multiply ln * k
4kln + 6k = 0

Reorder the terms:
6k + 4kln = 0

Solving
6k + 4kln = 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), '2k'.
2k(3 + 2ln) = 0

Ignore the factor 2.
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 + 2ln)' equal to zero and attempt to solve:

Simplifying
3 + 2ln = 0

Solving
3 + 2ln = 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 + 2ln = 0 + -3

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

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

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

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

Simplifying
0 = -3 + -2ln

The solution to this equation could not be determined.

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