In(x-1)+In(x+4)=In(2x+2)

Solution for In(x-1)+In(x+4)=In(2x+2) equation:

Simplifying
In(x + -1) + In(x + 4) = In(2x + 2)

Reorder the terms:
nI(-1 + x) + In(x + 4) = In(2x + 2)
(-1 * nI + x * nI) + In(x + 4) = In(2x + 2)
(-1nI + nxI) + In(x + 4) = In(2x + 2)

Reorder the terms:
-1nI + nxI + nI(4 + x) = In(2x + 2)
-1nI + nxI + (4 * nI + x * nI) = In(2x + 2)
-1nI + nxI + (4nI + nxI) = In(2x + 2)

Reorder the terms:
-1nI + 4nI + nxI + nxI = In(2x + 2)

Combine like terms: -1nI + 4nI = 3nI
3nI + nxI + nxI = In(2x + 2)

Combine like terms: nxI + nxI = 2nxI
3nI + 2nxI = In(2x + 2)

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

Add '-2nxI' to each side of the equation.
3nI + 2nxI + -2nxI = 2nI + 2nxI + -2nxI

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

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

Solving
3nI = 2nI

Solving for variable 'n'.

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

Add '-2nI' to each side of the equation.
3nI + -2nI = 2nI + -2nI

Combine like terms: 3nI + -2nI = 1nI
1nI = 2nI + -2nI

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

Divide each side by '1'.
nI = 0

Simplifying
nI = 0

The solution to this equation could not be determined.