log(x^2-9)=log(x+11)

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Solution for log(x^2-9)=log(x+11) equation: 


Simplifying
log(x2 + -9) = log(x + 11)

Reorder the terms:
glo(-9 + x2) = log(x + 11)
(-9 * glo + x2 * glo) = log(x + 11)
(-9glo + glox2) = log(x + 11)

Reorder the terms:
-9glo + glox2 = glo(11 + x)
-9glo + glox2 = (11 * glo + x * glo)
-9glo + glox2 = (11glo + glox)

Solving
-9glo + glox2 = 11glo + glox

Solving for variable 'g'.

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

Add '-11glo' to each side of the equation.
-9glo + -11glo + glox2 = 11glo + -11glo + glox

Combine like terms: -9glo + -11glo = -20glo
-20glo + glox2 = 11glo + -11glo + glox

Combine like terms: 11glo + -11glo = 0
-20glo + glox2 = 0 + glox
-20glo + glox2 = glox

Add '-1glox' to each side of the equation.
-20glo + -1glox + glox2 = glox + -1glox

Combine like terms: glox + -1glox = 0
-20glo + -1glox + glox2 = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-20 + -1x + x2) = 0

Factor a trinomial.
glo((-4 + -1x)(5 + -1x)) = 0


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

Simplifying
glo = 0

Solving
glo = 0

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

Simplifying
glo = 0

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 '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Add 'x' to each side of the equation.
-1x + x = 4 + x

Combine like terms: -1x + x = 0
0 = 4 + x

Simplifying
0 = 4 + x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Add 'x' to each side of the equation.
-1x + x = -5 + x

Combine like terms: -1x + x = 0
0 = -5 + x

Simplifying
0 = -5 + x

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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