Ln(-5n-6)=ln-4n

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Solution for Ln(-5n-6)=ln-4n equation: 


Simplifying
Ln(-5n + -6) = ln + -4n

Reorder the terms:
nL(-6 + -5n) = ln + -4n
(-6 * nL + -5n * nL) = ln + -4n
(-6nL + -5n2L) = ln + -4n

Solving
-6nL + -5n2L = ln + -4n

Solving for variable 'n'.

Reorder the terms:
-1ln + 4n + -6nL + -5n2L = ln + -4n + -1ln + 4n

Reorder the terms:
-1ln + 4n + -6nL + -5n2L = ln + -1ln + -4n + 4n

Combine like terms: ln + -1ln = 0
-1ln + 4n + -6nL + -5n2L = 0 + -4n + 4n
-1ln + 4n + -6nL + -5n2L = -4n + 4n

Combine like terms: -4n + 4n = 0
-1ln + 4n + -6nL + -5n2L = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1l + 4 + -6L + -5nL) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(-1l + 4 + -6L + -5nL)' equal to zero and attempt to solve:

Simplifying
-1l + 4 + -6L + -5nL = 0

Reorder the terms:
4 + -6L + -1l + -5nL = 0

Solving
4 + -6L + -1l + -5nL = 0

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

Add '-4' to each side of the equation.
4 + -6L + -1l + -4 + -5nL = 0 + -4

Reorder the terms:
4 + -4 + -6L + -1l + -5nL = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -6L + -1l + -5nL = 0 + -4
-6L + -1l + -5nL = 0 + -4

Combine like terms: 0 + -4 = -4
-6L + -1l + -5nL = -4

Add '6L' to each side of the equation.
-6L + -1l + 6L + -5nL = -4 + 6L

Reorder the terms:
-6L + 6L + -1l + -5nL = -4 + 6L

Combine like terms: -6L + 6L = 0
0 + -1l + -5nL = -4 + 6L
-1l + -5nL = -4 + 6L

Add 'l' to each side of the equation.
-1l + l + -5nL = -4 + 6L + l

Combine like terms: -1l + l = 0
0 + -5nL = -4 + 6L + l
-5nL = -4 + 6L + l

Divide each side by '-5L'.
n = 0.8L-1 + -1.2 + -0.2lL-1

Simplifying
n = 0.8L-1 + -1.2 + -0.2lL-1

Reorder the terms:
n = -1.2 + 0.8L-1 + -0.2lL-1
Solution
n = {0, -1.2 + 0.8L-1 + -0.2lL-1}

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