log[3](x)+log[3](x+6)-3=0

Solution for log[3](x)+log[3](x+6)-3=0 equation:

Simplifying
log[3](x) + log[3](x + 6) + -3 = 0

Reorder the terms for easier multiplication:
3glo * x + log[3](x + 6) + -3 = 0

Multiply glo * x
3glox + log[3](x + 6) + -3 = 0

Reorder the terms:
3glox + glo * 3(6 + x) + -3 = 0

Reorder the terms for easier multiplication:
3glox + 3glo(6 + x) + -3 = 0
3glox + (6 * 3glo + x * 3glo) + -3 = 0
3glox + (18glo + 3glox) + -3 = 0

Reorder the terms:
-3 + 18glo + 3glox + 3glox = 0

Combine like terms: 3glox + 3glox = 6glox
-3 + 18glo + 6glox = 0

Solving
-3 + 18glo + 6glox = 0

Solving for variable 'g'.

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

Add '3' to each side of the equation.
-3 + 18glo + 3 + 6glox = 0 + 3

Reorder the terms:
-3 + 3 + 18glo + 6glox = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 18glo + 6glox = 0 + 3
18glo + 6glox = 0 + 3

Combine like terms: 0 + 3 = 3
18glo + 6glox = 3

Reorder the terms:
-3 + 18glo + 6glox = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 18glo + 6glox = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 6glo + 2glox) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + 6glo + 2glox)' equal to zero and attempt to solve:

Simplifying
-1 + 6glo + 2glox = 0

Solving
-1 + 6glo + 2glox = 0

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

Add '1' to each side of the equation.
-1 + 6glo + 1 + 2glox = 0 + 1

Reorder the terms:
-1 + 1 + 6glo + 2glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 6glo + 2glox = 0 + 1
6glo + 2glox = 0 + 1

Combine like terms: 0 + 1 = 1
6glo + 2glox = 1

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.