log(8)(x-12)+log(8)x=2

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Solution for log(8)(x-12)+log(8)x=2 equation: 


Simplifying
log(8)(x + -12) + log(8) * x = 2

Reorder the terms:
glo * 8(-12 + x) + log(8) * x = 2

Reorder the terms for easier multiplication:
8glo(-12 + x) + log(8) * x = 2
(-12 * 8glo + x * 8glo) + log(8) * x = 2
(-96glo + 8glox) + log(8) * x = 2

Reorder the terms for easier multiplication:
-96glo + 8glox + 8glo * x = 2

Multiply glo * x
-96glo + 8glox + 8glox = 2

Combine like terms: 8glox + 8glox = 16glox
-96glo + 16glox = 2

Solving
-96glo + 16glox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -96glo + 16glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -96glo + 16glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -48glo + 8glox) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -48glo + 8glox)' equal to zero and attempt to solve:

Simplifying
-1 + -48glo + 8glox = 0

Solving
-1 + -48glo + 8glox = 0

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

Add '1' to each side of the equation.
-1 + -48glo + 1 + 8glox = 0 + 1

Reorder the terms:
-1 + 1 + -48glo + 8glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -48glo + 8glox = 0 + 1
-48glo + 8glox = 0 + 1

Combine like terms: 0 + 1 = 1
-48glo + 8glox = 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.

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