ln(4k)+6k=0

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Solution for ln(4k)+6k=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}

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