ln(x+1)-Ln(x-1)(x-1)=0

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Solution for ln(x+1)-Ln(x-1)(x-1)=0 equation: 


Simplifying
ln(x + 1) + -1Ln(x + -1)(x + -1) = 0

Reorder the terms:
ln(1 + x) + -1Ln(x + -1)(x + -1) = 0
(1 * ln + x * ln) + -1Ln(x + -1)(x + -1) = 0
(1ln + lnx) + -1Ln(x + -1)(x + -1) = 0

Reorder the terms:
1ln + lnx + -1nL(-1 + x)(x + -1) = 0

Reorder the terms:
1ln + lnx + -1nL(-1 + x)(-1 + x) = 0

Multiply (-1 + x) * (-1 + x)
1ln + lnx + -1nL(-1(-1 + x) + x(-1 + x)) = 0
1ln + lnx + -1nL((-1 * -1 + x * -1) + x(-1 + x)) = 0
1ln + lnx + -1nL((1 + -1x) + x(-1 + x)) = 0
1ln + lnx + -1nL(1 + -1x + (-1 * x + x * x)) = 0
1ln + lnx + -1nL(1 + -1x + (-1x + x2)) = 0

Combine like terms: -1x + -1x = -2x
1ln + lnx + -1nL(1 + -2x + x2) = 0
1ln + lnx + (1 * -1nL + -2x * -1nL + x2 * -1nL) = 0
1ln + lnx + (-1nL + 2nxL + -1nx2L) = 0

Solving
1ln + lnx + -1nL + 2nxL + -1nx2L = 0

Solving for variable 'l'.

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

Add 'nL' to each side of the equation.
1ln + lnx + -1nL + 2nxL + nL + -1nx2L = 0 + nL

Reorder the terms:
1ln + lnx + -1nL + nL + 2nxL + -1nx2L = 0 + nL

Combine like terms: -1nL + nL = 0
1ln + lnx + 0 + 2nxL + -1nx2L = 0 + nL
1ln + lnx + 2nxL + -1nx2L = 0 + nL
Remove the zero:
1ln + lnx + 2nxL + -1nx2L = nL

Add '-2nxL' to each side of the equation.
1ln + lnx + 2nxL + -2nxL + -1nx2L = nL + -2nxL

Combine like terms: 2nxL + -2nxL = 0
1ln + lnx + 0 + -1nx2L = nL + -2nxL
1ln + lnx + -1nx2L = nL + -2nxL

Add 'nx2L' to each side of the equation.
1ln + lnx + -1nx2L + nx2L = nL + -2nxL + nx2L

Combine like terms: -1nx2L + nx2L = 0
1ln + lnx + 0 = nL + -2nxL + nx2L
1ln + lnx = nL + -2nxL + nx2L

Reorder the terms:
1ln + lnx + -1nL + 2nxL + -1nx2L = nL + -1nL + -2nxL + 2nxL + nx2L + -1nx2L

Combine like terms: nL + -1nL = 0
1ln + lnx + -1nL + 2nxL + -1nx2L = 0 + -2nxL + 2nxL + nx2L + -1nx2L
1ln + lnx + -1nL + 2nxL + -1nx2L = -2nxL + 2nxL + nx2L + -1nx2L

Combine like terms: -2nxL + 2nxL = 0
1ln + lnx + -1nL + 2nxL + -1nx2L = 0 + nx2L + -1nx2L
1ln + lnx + -1nL + 2nxL + -1nx2L = nx2L + -1nx2L

Combine like terms: nx2L + -1nx2L = 0
1ln + lnx + -1nL + 2nxL + -1nx2L = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(l + lx + -1L + 2xL + -1x2L) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Add '-1n' to each side of the equation.
n + -1n = 0 + -1n
Remove the zero:
0 = -1n

Simplifying
0 = -1n

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 '(l + lx + -1L + 2xL + -1x2L)' equal to zero and attempt to solve:

Simplifying
l + lx + -1L + 2xL + -1x2L = 0

Reorder the terms:
-1L + l + lx + 2xL + -1x2L = 0

Solving
-1L + l + lx + 2xL + -1x2L = 0

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

Add 'L' to each side of the equation.
-1L + l + lx + 2xL + L + -1x2L = 0 + L

Reorder the terms:
-1L + L + l + lx + 2xL + -1x2L = 0 + L

Combine like terms: -1L + L = 0
0 + l + lx + 2xL + -1x2L = 0 + L
l + lx + 2xL + -1x2L = 0 + L
Remove the zero:
l + lx + 2xL + -1x2L = L

Add '-2xL' to each side of the equation.
l + lx + 2xL + -2xL + -1x2L = L + -2xL

Combine like terms: 2xL + -2xL = 0
l + lx + 0 + -1x2L = L + -2xL
l + lx + -1x2L = L + -2xL

Add 'x2L' to each side of the equation.
l + lx + -1x2L + x2L = L + -2xL + x2L

Combine like terms: -1x2L + x2L = 0
l + lx + 0 = L + -2xL + x2L
l + lx = L + -2xL + x2L

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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