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

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


Simplifying
log(x + 2) = -1log(12)

Reorder the terms:
glo(2 + x) = -1log(12)
(2 * glo + x * glo) = -1log(12)
(2glo + glox) = -1log(12)

Reorder the terms for easier multiplication:
2glo + glox = -1 * 12glo

Multiply -1 * 12
2glo + glox = -12glo

Solving
2glo + glox = -12glo

Solving for variable 'g'.

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

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

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

Combine like terms: -12glo + 12glo = 0
14glo + glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(14 + 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 '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Add '-1x' to each side of the equation.
x + -1x = -14 + -1x

Combine like terms: x + -1x = 0
0 = -14 + -1x

Simplifying
0 = -14 + -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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