In(x+3)-In(x-1)-In(x+2)+In(x+3)=0

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Solution for In(x+3)-In(x-1)-In(x+2)+In(x+3)=0 equation: 


Simplifying
In(x + 3) + -1In(x + -1) + -1In(x + 2) + In(x + 3) = 0

Reorder the terms:
nI(3 + x) + -1In(x + -1) + -1In(x + 2) + In(x + 3) = 0
(3 * nI + x * nI) + -1In(x + -1) + -1In(x + 2) + In(x + 3) = 0
(3nI + nxI) + -1In(x + -1) + -1In(x + 2) + In(x + 3) = 0

Reorder the terms:
3nI + nxI + -1nI(-1 + x) + -1In(x + 2) + In(x + 3) = 0
3nI + nxI + (-1 * -1nI + x * -1nI) + -1In(x + 2) + In(x + 3) = 0
3nI + nxI + (1nI + -1nxI) + -1In(x + 2) + In(x + 3) = 0

Reorder the terms:
3nI + nxI + 1nI + -1nxI + -1nI(2 + x) + In(x + 3) = 0
3nI + nxI + 1nI + -1nxI + (2 * -1nI + x * -1nI) + In(x + 3) = 0
3nI + nxI + 1nI + -1nxI + (-2nI + -1nxI) + In(x + 3) = 0

Reorder the terms:
3nI + nxI + 1nI + -1nxI + -2nI + -1nxI + nI(3 + x) = 0
3nI + nxI + 1nI + -1nxI + -2nI + -1nxI + (3 * nI + x * nI) = 0
3nI + nxI + 1nI + -1nxI + -2nI + -1nxI + (3nI + nxI) = 0

Reorder the terms:
3nI + 1nI + -2nI + 3nI + nxI + -1nxI + -1nxI + nxI = 0

Combine like terms: 3nI + 1nI = 4nI
4nI + -2nI + 3nI + nxI + -1nxI + -1nxI + nxI = 0

Combine like terms: 4nI + -2nI = 2nI
2nI + 3nI + nxI + -1nxI + -1nxI + nxI = 0

Combine like terms: 2nI + 3nI = 5nI
5nI + nxI + -1nxI + -1nxI + nxI = 0

Combine like terms: nxI + -1nxI = 0
5nI + 0 + -1nxI + nxI = 0
5nI + -1nxI + nxI = 0

Combine like terms: -1nxI + nxI = 0
5nI + 0 = 0
5nI = 0

Solving
5nI = 0

Solving for variable 'n'.

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

Divide each side by '5'.
nI = 0

Simplifying
nI = 0

The solution to this equation could not be determined.

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