2ln(x+2)-ln(-x)=0

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Solution for 2ln(x+2)-ln(-x)=0 equation: 


Simplifying
2ln(x + 2) + -1ln(-1x) = 0

Reorder the terms:
2ln(2 + x) + -1ln(-1x) = 0
(2 * 2ln + x * 2ln) + -1ln(-1x) = 0
(4ln + 2lnx) + -1ln(-1x) = 0

Remove parenthesis around (-1x)
4ln + 2lnx + -1ln * -1x = 0

Reorder the terms for easier multiplication:
4ln + 2lnx + -1 * -1ln * x = 0

Multiply -1 * -1
4ln + 2lnx + 1ln * x = 0

Multiply ln * x
4ln + 2lnx + 1lnx = 0

Combine like terms: 2lnx + 1lnx = 3lnx
4ln + 3lnx = 0

Solving
4ln + 3lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(4 + 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 '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Add '-3x' to each side of the equation.
3x + -3x = -4 + -3x

Combine like terms: 3x + -3x = 0
0 = -4 + -3x

Simplifying
0 = -4 + -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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