3ln*x=-ln*8

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Solution for 3ln*x=-ln*8 equation: 


Simplifying
3ln * x = -1ln * 8

Multiply ln * x
3lnx = -1ln * 8

Reorder the terms for easier multiplication:
3lnx = -1 * 8ln

Multiply -1 * 8
3lnx = -8ln

Solving
3lnx = -8ln

Solving for variable 'l'.

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

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

Combine like terms: -8ln + 8ln = 0
8ln + 3lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(8 + 3x) = 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 '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 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 + 3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 0 + -8
3x = 0 + -8

Combine like terms: 0 + -8 = -8
3x = -8

Add '-3x' to each side of the equation.
3x + -3x = -8 + -3x

Combine like terms: 3x + -3x = 0
0 = -8 + -3x

Simplifying
0 = -8 + -3x

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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