InX=2In(X-6)

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Solution for InX=2In(X-6) equation: 


Simplifying
InX = 2In(X + -6)

Reorder the terms:
nIX = 2nI(-6 + X)
nIX = (-6 * 2nI + X * 2nI)
nIX = (-12nI + 2nIX)

Solving
nIX = -12nI + 2nIX

Solving for variable 'n'.

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

Add '12nI' to each side of the equation.
12nI + nIX = -12nI + 12nI + 2nIX

Combine like terms: -12nI + 12nI = 0
12nI + nIX = 0 + 2nIX
12nI + nIX = 2nIX

Add '-2nIX' to each side of the equation.
12nI + nIX + -2nIX = 2nIX + -2nIX

Combine like terms: nIX + -2nIX = -1nIX
12nI + -1nIX = 2nIX + -2nIX

Combine like terms: 2nIX + -2nIX = 0
12nI + -1nIX = 0

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(12 + -1X) = 0


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

Simplifying
nI = 0

Solving
nI = 0

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

Simplifying
nI = 0

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 '(12 + -1X)' equal to zero and attempt to solve:

Simplifying
12 + -1X = 0

Solving
12 + -1X = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1X = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1X = 0 + -12
-1X = 0 + -12

Combine like terms: 0 + -12 = -12
-1X = -12

Add 'X' to each side of the equation.
-1X + X = -12 + X

Combine like terms: -1X + X = 0
0 = -12 + X

Simplifying
0 = -12 + X

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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