2*ln(-3x-3)+4=6

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Solution for 2*ln(-3x-3)+4=6 equation: 


Simplifying
2ln(-3x + -3) + 4 = 6

Reorder the terms:
2ln(-3 + -3x) + 4 = 6
(-3 * 2ln + -3x * 2ln) + 4 = 6
(-6ln + -6lnx) + 4 = 6

Reorder the terms:
4 + -6ln + -6lnx = 6

Solving
4 + -6ln + -6lnx = 6

Solving for variable 'l'.

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

Add '-4' to each side of the equation.
4 + -6ln + -4 + -6lnx = 6 + -4

Reorder the terms:
4 + -4 + -6ln + -6lnx = 6 + -4

Combine like terms: 4 + -4 = 0
0 + -6ln + -6lnx = 6 + -4
-6ln + -6lnx = 6 + -4

Combine like terms: 6 + -4 = 2
-6ln + -6lnx = 2

Reorder the terms:
-2 + -6ln + -6lnx = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -6ln + -6lnx = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(1 + 3ln + 3lnx) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(1 + 3ln + 3lnx)' equal to zero and attempt to solve:

Simplifying
1 + 3ln + 3lnx = 0

Solving
1 + 3ln + 3lnx = 0

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

Add '-1' to each side of the equation.
1 + 3ln + -1 + 3lnx = 0 + -1

Reorder the terms:
1 + -1 + 3ln + 3lnx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3ln + 3lnx = 0 + -1
3ln + 3lnx = 0 + -1

Combine like terms: 0 + -1 = -1
3ln + 3lnx = -1

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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