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

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


Simplifying
In(n2 + 12) = in(-9 + -2)

Reorder the terms:
nI(12 + n2) = in(-9 + -2)
(12 * nI + n2 * nI) = in(-9 + -2)
(12nI + n3I) = in(-9 + -2)

Combine like terms: -9 + -2 = -11
12nI + n3I = in(-11)

Reorder the terms for easier multiplication:
12nI + n3I = -11in

Solving
12nI + n3I = -11in

Solving for variable 'n'.

Reorder the terms:
11in + 12nI + n3I = -11in + 11in

Combine like terms: -11in + 11in = 0
11in + 12nI + n3I = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(11i + 12I + n2I) = 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 '(11i + 12I + n2I)' equal to zero and attempt to solve:

Simplifying
11i + 12I + n2I = 0

Reorder the terms:
12I + 11i + n2I = 0

Solving
12I + 11i + n2I = 0

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

Add '-12I' to each side of the equation.
12I + 11i + -12I + n2I = 0 + -12I

Reorder the terms:
12I + -12I + 11i + n2I = 0 + -12I

Combine like terms: 12I + -12I = 0
0 + 11i + n2I = 0 + -12I
11i + n2I = 0 + -12I
Remove the zero:
11i + n2I = -12I

Add '-11i' to each side of the equation.
11i + -11i + n2I = -12I + -11i

Combine like terms: 11i + -11i = 0
0 + n2I = -12I + -11i
n2I = -12I + -11i

Divide each side by 'I'.
n2 = -12 + -11iI-1

Simplifying
n2 = -12 + -11iI-1

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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