log^15(x^2+13)=log^15(-9x-1)

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Solution for log^15(x^2+13)=log^15(-9x-1) equation: 


Simplifying
log15(x2 + 13) = log15(-9x + -1)

Reorder the terms:
g15lo(13 + x2) = log15(-9x + -1)
(13 * g15lo + x2 * g15lo) = log15(-9x + -1)
(13g15lo + g15lox2) = log15(-9x + -1)

Reorder the terms:
13g15lo + g15lox2 = g15lo(-1 + -9x)
13g15lo + g15lox2 = (-1 * g15lo + -9x * g15lo)
13g15lo + g15lox2 = (-1g15lo + -9g15lox)

Solving
13g15lo + g15lox2 = -1g15lo + -9g15lox

Solving for variable 'g'.

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

Add 'g15lo' to each side of the equation.
13g15lo + g15lo + g15lox2 = -1g15lo + g15lo + -9g15lox

Combine like terms: 13g15lo + g15lo = 14g15lo
14g15lo + g15lox2 = -1g15lo + g15lo + -9g15lox

Combine like terms: -1g15lo + g15lo = 0
14g15lo + g15lox2 = 0 + -9g15lox
14g15lo + g15lox2 = -9g15lox

Add '9g15lox' to each side of the equation.
14g15lo + 9g15lox + g15lox2 = -9g15lox + 9g15lox

Combine like terms: -9g15lox + 9g15lox = 0
14g15lo + 9g15lox + g15lox2 = 0

Factor out the Greatest Common Factor (GCF), 'g15lo'.
g15lo(14 + 9x + x2) = 0

Factor a trinomial.
g15lo((7 + x)(2 + x)) = 0


Subproblem 1
Set the factor 'g15lo' equal to zero and attempt to solve:

Simplifying
g15lo = 0

Solving
g15lo = 0

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

Simplifying
g15lo = 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 '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Add '-1x' to each side of the equation.
x + -1x = -7 + -1x

Combine like terms: x + -1x = 0
0 = -7 + -1x

Simplifying
0 = -7 + -1x

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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Add '-1x' to each side of the equation.
x + -1x = -2 + -1x

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

Simplifying
0 = -2 + -1x

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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