In(5-x)+In(-4-x)=In(1-5x)

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Solution for In(5-x)+In(-4-x)=In(1-5x) equation:


Simplifying
In(5 + -1x) + In(-4 + -1x) = In(1 + -5x)
(5 * nI + -1x * nI) + In(-4 + -1x) = In(1 + -5x)
(5nI + -1nxI) + In(-4 + -1x) = In(1 + -5x)
5nI + -1nxI + (-4 * nI + -1x * nI) = In(1 + -5x)
5nI + -1nxI + (-4nI + -1nxI) = In(1 + -5x)

Reorder the terms:
5nI + -4nI + -1nxI + -1nxI = In(1 + -5x)

Combine like terms: 5nI + -4nI = 1nI
1nI + -1nxI + -1nxI = In(1 + -5x)

Combine like terms: -1nxI + -1nxI = -2nxI
1nI + -2nxI = In(1 + -5x)
1nI + -2nxI = (1 * nI + -5x * nI)
1nI + -2nxI = (1nI + -5nxI)

Add '-1nI' to each side of the equation.
1nI + -1nI + -2nxI = 1nI + -1nI + -5nxI

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

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

Solving
-2nxI = -5nxI

Solving for variable 'n'.

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

Add '5nxI' to each side of the equation.
-2nxI + 5nxI = -5nxI + 5nxI

Combine like terms: -2nxI + 5nxI = 3nxI
3nxI = -5nxI + 5nxI

Combine like terms: -5nxI + 5nxI = 0
3nxI = 0

Divide each side by '3'.
nxI = 0

Simplifying
nxI = 0

The solution to this equation could not be determined.

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