In(x+2)-In(x+6)+In(x)=0

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Solution for In(x+2)-In(x+6)+In(x)=0 equation: 


Simplifying
In(x + 2) + -1In(x + 6) + In(x) = 0

Reorder the terms:
nI(2 + x) + -1In(x + 6) + In(x) = 0
(2 * nI + x * nI) + -1In(x + 6) + In(x) = 0
(2nI + nxI) + -1In(x + 6) + In(x) = 0

Reorder the terms:
2nI + nxI + -1nI(6 + x) + In(x) = 0
2nI + nxI + (6 * -1nI + x * -1nI) + In(x) = 0
2nI + nxI + (-6nI + -1nxI) + In(x) = 0

Multiply nI * x
2nI + nxI + -6nI + -1nxI + nxI = 0

Reorder the terms:
2nI + -6nI + nxI + -1nxI + nxI = 0

Combine like terms: 2nI + -6nI = -4nI
-4nI + nxI + -1nxI + nxI = 0

Combine like terms: nxI + -1nxI = 0
-4nI + 0 + nxI = 0
-4nI + nxI = 0

Solving
-4nI + nxI = 0

Solving for variable 'n'.

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

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(-4 + x) = 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 '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4

Combine like terms: 0 + 4 = 4
x = 4

Add '-1x' to each side of the equation.
x + -1x = 4 + -1x

Combine like terms: x + -1x = 0
0 = 4 + -1x

Simplifying
0 = 4 + -1x

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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