log(x^2+12)=log(-9x-2)

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Solution for log(x^2+12)=log(-9x-2) equation: 


Simplifying
log(x2 + 12) = log(-9x + -2)

Reorder the terms:
glo(12 + x2) = log(-9x + -2)
(12 * glo + x2 * glo) = log(-9x + -2)
(12glo + glox2) = log(-9x + -2)

Reorder the terms:
12glo + glox2 = glo(-2 + -9x)
12glo + glox2 = (-2 * glo + -9x * glo)
12glo + glox2 = (-2glo + -9glox)

Solving
12glo + glox2 = -2glo + -9glox

Solving for variable 'g'.

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

Add '2glo' to each side of the equation.
12glo + 2glo + glox2 = -2glo + 2glo + -9glox

Combine like terms: 12glo + 2glo = 14glo
14glo + glox2 = -2glo + 2glo + -9glox

Combine like terms: -2glo + 2glo = 0
14glo + glox2 = 0 + -9glox
14glo + glox2 = -9glox

Add '9glox' to each side of the equation.
14glo + 9glox + glox2 = -9glox + 9glox

Combine like terms: -9glox + 9glox = 0
14glo + 9glox + glox2 = 0

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

Factor a trinomial.
glo((7 + x)(2 + x)) = 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 '(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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