2ln(-2x-5)-4ln(-2x-5)=0

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Solution for 2ln(-2x-5)-4ln(-2x-5)=0 equation: 


Simplifying
2ln(-2x + -5) + -4ln(-2x + -5) = 0

Reorder the terms:
2ln(-5 + -2x) + -4ln(-2x + -5) = 0
(-5 * 2ln + -2x * 2ln) + -4ln(-2x + -5) = 0
(-10ln + -4lnx) + -4ln(-2x + -5) = 0

Reorder the terms:
-10ln + -4lnx + -4ln(-5 + -2x) = 0
-10ln + -4lnx + (-5 * -4ln + -2x * -4ln) = 0
-10ln + -4lnx + (20ln + 8lnx) = 0

Reorder the terms:
-10ln + 20ln + -4lnx + 8lnx = 0

Combine like terms: -10ln + 20ln = 10ln
10ln + -4lnx + 8lnx = 0

Combine like terms: -4lnx + 8lnx = 4lnx
10ln + 4lnx = 0

Solving
10ln + 4lnx = 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), '2ln'.
2ln(5 + 2x) = 0

Ignore the factor 2.

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 '(5 + 2x)' equal to zero and attempt to solve:

Simplifying
5 + 2x = 0

Solving
5 + 2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 0 + -5
2x = 0 + -5

Combine like terms: 0 + -5 = -5
2x = -5

Add '-2x' to each side of the equation.
2x + -2x = -5 + -2x

Combine like terms: 2x + -2x = 0
0 = -5 + -2x

Simplifying
0 = -5 + -2x

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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