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

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


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

Reorder the terms:
in(12 + n2) = ln(-9n + -2)
(12 * in + n2 * in) = ln(-9n + -2)
(12in + in3) = ln(-9n + -2)

Reorder the terms:
12in + in3 = ln(-2 + -9n)
12in + in3 = (-2 * ln + -9n * ln)
12in + in3 = (-2ln + -9ln2)

Solving
12in + in3 = -2ln + -9ln2

Solving for variable 'i'.

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

Reorder the terms:
12in + in3 + 2ln + 9ln2 = -2ln + 2ln + -9ln2 + 9ln2

Combine like terms: -2ln + 2ln = 0
12in + in3 + 2ln + 9ln2 = 0 + -9ln2 + 9ln2
12in + in3 + 2ln + 9ln2 = -9ln2 + 9ln2

Combine like terms: -9ln2 + 9ln2 = 0
12in + in3 + 2ln + 9ln2 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(12i + in2 + 2l + 9ln) = 0


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

Simplifying
n = 0

Solving
n = 0

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

Add '-1n' to each side of the equation.
n + -1n = 0 + -1n
Remove the zero:
0 = -1n

Simplifying
0 = -1n

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 '(12i + in2 + 2l + 9ln)' equal to zero and attempt to solve:

Simplifying
12i + in2 + 2l + 9ln = 0

Solving
12i + in2 + 2l + 9ln = 0

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

Add '-2l' to each side of the equation.
12i + in2 + 2l + -2l + 9ln = 0 + -2l

Combine like terms: 2l + -2l = 0
12i + in2 + 0 + 9ln = 0 + -2l
12i + in2 + 9ln = 0 + -2l
Remove the zero:
12i + in2 + 9ln = -2l

Add '-9ln' to each side of the equation.
12i + in2 + 9ln + -9ln = -2l + -9ln

Combine like terms: 9ln + -9ln = 0
12i + in2 + 0 = -2l + -9ln
12i + in2 = -2l + -9ln

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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