Ln(n^2+12)=ln(-9n-2)

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Solution for Ln(n^2+12)=ln(-9n-2) equation: 


Simplifying
Ln(n2 + 12) = ln(-9n + -2)

Reorder the terms:
nL(12 + n2) = ln(-9n + -2)
(12 * nL + n2 * nL) = ln(-9n + -2)
(12nL + n3L) = ln(-9n + -2)

Reorder the terms:
12nL + n3L = ln(-2 + -9n)
12nL + n3L = (-2 * ln + -9n * ln)
12nL + n3L = (-2ln + -9ln2)

Solving
12nL + n3L = -2ln + -9ln2

Solving for variable 'n'.

Reorder the terms:
2ln + 9ln2 + 12nL + n3L = -2ln + -9ln2 + 2ln + 9ln2

Reorder the terms:
2ln + 9ln2 + 12nL + n3L = -2ln + 2ln + -9ln2 + 9ln2

Combine like terms: -2ln + 2ln = 0
2ln + 9ln2 + 12nL + n3L = 0 + -9ln2 + 9ln2
2ln + 9ln2 + 12nL + n3L = -9ln2 + 9ln2

Combine like terms: -9ln2 + 9ln2 = 0
2ln + 9ln2 + 12nL + n3L = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(2l + 9ln + 12L + n2L) = 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 '(2l + 9ln + 12L + n2L)' equal to zero and attempt to solve:

Simplifying
2l + 9ln + 12L + n2L = 0

Reorder the terms:
12L + 2l + 9ln + n2L = 0

Solving
12L + 2l + 9ln + n2L = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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