ln(59+x)=log(-56-x)

Solution for ln(59+x)=log(-56-x) equation:

Simplifying
ln(59 + x) = log(-56 + -1x)
(59 * ln + x * ln) = log(-56 + -1x)
(59ln + lnx) = log(-56 + -1x)
59ln + lnx = (-56 * glo + -1x * glo)
59ln + lnx = (-56glo + -1glox)

Solving
59ln + lnx = -56glo + -1glox

Solving for variable 'l'.

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

Add '56glo' to each side of the equation.
59ln + 56glo + lnx = -56glo + 56glo + -1glox

Reorder the terms:
56glo + 59ln + lnx = -56glo + 56glo + -1glox

Combine like terms: -56glo + 56glo = 0
56glo + 59ln + lnx = 0 + -1glox
56glo + 59ln + lnx = -1glox

Add 'glox' to each side of the equation.
56glo + 59ln + glox + lnx = -1glox + glox

Reorder the terms:
56glo + glox + 59ln + lnx = -1glox + glox

Combine like terms: -1glox + glox = 0
56glo + glox + 59ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'l'.
l(56go + gox + 59n + nx) = 0

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

Simplifying
l = 0

Solving
l = 0

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

Simplifying
l = 0
Subproblem 2
Set the factor '(56go + gox + 59n + nx)' equal to zero and attempt to solve:

Simplifying
56go + gox + 59n + nx = 0

Solving
56go + gox + 59n + nx = 0

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

Add '-56go' to each side of the equation.
56go + gox + 59n + -56go + nx = 0 + -56go

Reorder the terms:
56go + -56go + gox + 59n + nx = 0 + -56go

Combine like terms: 56go + -56go = 0
0 + gox + 59n + nx = 0 + -56go
gox + 59n + nx = 0 + -56go
Remove the zero:
gox + 59n + nx = -56go

Add '-1gox' to each side of the equation.
gox + 59n + -1gox + nx = -56go + -1gox

Reorder the terms:
gox + -1gox + 59n + nx = -56go + -1gox

Combine like terms: gox + -1gox = 0
0 + 59n + nx = -56go + -1gox
59n + nx = -56go + -1gox

Add '-59n' to each side of the equation.
59n + -59n + nx = -56go + -1gox + -59n

Combine like terms: 59n + -59n = 0
0 + nx = -56go + -1gox + -59n
nx = -56go + -1gox + -59n

Add '-1nx' to each side of the equation.
nx + -1nx = -56go + -1gox + -59n + -1nx

Combine like terms: nx + -1nx = 0
0 = -56go + -1gox + -59n + -1nx

Simplifying
0 = -56go + -1gox + -59n + -1nx

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
l = {0}