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

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


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

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

Reorder the terms:
-1nI + nxI + bi(2 + x) = 1
-1nI + nxI + (2 * bi + x * bi) = 1
-1nI + nxI + (2bi + bix) = 1

Reorder the terms:
2bi + bix + -1nI + nxI = 1

Solving
2bi + bix + -1nI + nxI = 1

Solving for variable 'b'.

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

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

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

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

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

Reorder the terms:
-1 + 2bi + bix + -1nI + nxI = 1 + nI + -1nxI + -1 + -1nI + nxI

Reorder the terms:
-1 + 2bi + bix + -1nI + nxI = 1 + -1 + nI + -1nI + -1nxI + nxI

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

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

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

The solution to this equation could not be determined.

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