-ln(6x+2)-5ln(2x)-25=0

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Solution for -ln(6x+2)-5ln(2x)-25=0 equation: 


Simplifying
-1ln(6x + 2) + -5ln(2x) + -25 = 0

Reorder the terms:
-1ln(2 + 6x) + -5ln(2x) + -25 = 0
(2 * -1ln + 6x * -1ln) + -5ln(2x) + -25 = 0
(-2ln + -6lnx) + -5ln(2x) + -25 = 0

Remove parenthesis around (2x)
-2ln + -6lnx + -5ln * 2x + -25 = 0

Reorder the terms for easier multiplication:
-2ln + -6lnx + -5 * 2ln * x + -25 = 0

Multiply -5 * 2
-2ln + -6lnx + -10ln * x + -25 = 0

Multiply ln * x
-2ln + -6lnx + -10lnx + -25 = 0

Reorder the terms:
-25 + -2ln + -6lnx + -10lnx = 0

Combine like terms: -6lnx + -10lnx = -16lnx
-25 + -2ln + -16lnx = 0

Solving
-25 + -2ln + -16lnx = 0

Solving for variable 'l'.

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

Add '25' to each side of the equation.
-25 + -2ln + 25 + -16lnx = 0 + 25

Reorder the terms:
-25 + 25 + -2ln + -16lnx = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -2ln + -16lnx = 0 + 25
-2ln + -16lnx = 0 + 25

Combine like terms: 0 + 25 = 25
-2ln + -16lnx = 25

Reorder the terms:
-25 + -2ln + -16lnx = 25 + -25

Combine like terms: 25 + -25 = 0
-25 + -2ln + -16lnx = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(25 + 2ln + 16lnx) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(25 + 2ln + 16lnx)' equal to zero and attempt to solve:

Simplifying
25 + 2ln + 16lnx = 0

Solving
25 + 2ln + 16lnx = 0

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

Add '-25' to each side of the equation.
25 + 2ln + -25 + 16lnx = 0 + -25

Reorder the terms:
25 + -25 + 2ln + 16lnx = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 2ln + 16lnx = 0 + -25
2ln + 16lnx = 0 + -25

Combine like terms: 0 + -25 = -25
2ln + 16lnx = -25

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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