2ln(x+2)+4ln(4x-9)=0

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Solution for 2ln(x+2)+4ln(4x-9)=0 equation: 


Simplifying
2ln(x + 2) + 4ln(4x + -9) = 0

Reorder the terms:
2ln(2 + x) + 4ln(4x + -9) = 0
(2 * 2ln + x * 2ln) + 4ln(4x + -9) = 0
(4ln + 2lnx) + 4ln(4x + -9) = 0

Reorder the terms:
4ln + 2lnx + 4ln(-9 + 4x) = 0
4ln + 2lnx + (-9 * 4ln + 4x * 4ln) = 0
4ln + 2lnx + (-36ln + 16lnx) = 0

Reorder the terms:
4ln + -36ln + 2lnx + 16lnx = 0

Combine like terms: 4ln + -36ln = -32ln
-32ln + 2lnx + 16lnx = 0

Combine like terms: 2lnx + 16lnx = 18lnx
-32ln + 18lnx = 0

Solving
-32ln + 18lnx = 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(-16 + 9x) = 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 '(-16 + 9x)' equal to zero and attempt to solve:

Simplifying
-16 + 9x = 0

Solving
-16 + 9x = 0

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

Add '16' to each side of the equation.
-16 + 16 + 9x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 9x = 0 + 16
9x = 0 + 16

Combine like terms: 0 + 16 = 16
9x = 16

Add '-9x' to each side of the equation.
9x + -9x = 16 + -9x

Combine like terms: 9x + -9x = 0
0 = 16 + -9x

Simplifying
0 = 16 + -9x

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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