ln*(2m+8)=ln*3m

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Solution for ln*(2m+8)=ln*3m equation: 


Simplifying
ln(2m + 8) = ln * 3m

Reorder the terms:
ln(8 + 2m) = ln * 3m
(8 * ln + 2m * ln) = ln * 3m

Reorder the terms:
(2lmn + 8ln) = ln * 3m
(2lmn + 8ln) = ln * 3m

Reorder the terms for easier multiplication:
2lmn + 8ln = 3ln * m

Multiply ln * m
2lmn + 8ln = 3lmn

Solving
2lmn + 8ln = 3lmn

Solving for variable 'l'.

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

Add '-3lmn' to each side of the equation.
2lmn + -3lmn + 8ln = 3lmn + -3lmn

Combine like terms: 2lmn + -3lmn = -1lmn
-1lmn + 8ln = 3lmn + -3lmn

Combine like terms: 3lmn + -3lmn = 0
-1lmn + 8ln = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-1m + 8) = 0


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

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-1m + 8)' equal to zero and attempt to solve:

Simplifying
-1m + 8 = 0

Reorder the terms:
8 + -1m = 0

Solving
8 + -1m = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1m = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1m = 0 + -8
-1m = 0 + -8

Combine like terms: 0 + -8 = -8
-1m = -8

Add 'm' to each side of the equation.
-1m + m = -8 + m

Combine like terms: -1m + m = 0
0 = -8 + m

Simplifying
0 = -8 + m

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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