log(2)(2x+2)=log(3)(x-44)

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Solution for log(2)(2x+2)=log(3)(x-44) equation: 


Simplifying
log(2)(2x + 2) = log(3)(x + -44)

Reorder the terms:
glo * 2(2 + 2x) = log(3)(x + -44)

Reorder the terms for easier multiplication:
2glo(2 + 2x) = log(3)(x + -44)
(2 * 2glo + 2x * 2glo) = log(3)(x + -44)
(4glo + 4glox) = log(3)(x + -44)

Reorder the terms:
4glo + 4glox = glo * 3(-44 + x)

Reorder the terms for easier multiplication:
4glo + 4glox = 3glo(-44 + x)
4glo + 4glox = (-44 * 3glo + x * 3glo)
4glo + 4glox = (-132glo + 3glox)

Solving
4glo + 4glox = -132glo + 3glox

Solving for variable 'g'.

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

Add '132glo' to each side of the equation.
4glo + 132glo + 4glox = -132glo + 132glo + 3glox

Combine like terms: 4glo + 132glo = 136glo
136glo + 4glox = -132glo + 132glo + 3glox

Combine like terms: -132glo + 132glo = 0
136glo + 4glox = 0 + 3glox
136glo + 4glox = 3glox

Add '-3glox' to each side of the equation.
136glo + 4glox + -3glox = 3glox + -3glox

Combine like terms: 4glox + -3glox = 1glox
136glo + 1glox = 3glox + -3glox

Combine like terms: 3glox + -3glox = 0
136glo + 1glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(136 + 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 '(136 + x)' equal to zero and attempt to solve:

Simplifying
136 + x = 0

Solving
136 + x = 0

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

Add '-136' to each side of the equation.
136 + -136 + x = 0 + -136

Combine like terms: 136 + -136 = 0
0 + x = 0 + -136
x = 0 + -136

Combine like terms: 0 + -136 = -136
x = -136

Add '-1x' to each side of the equation.
x + -1x = -136 + -1x

Combine like terms: x + -1x = 0
0 = -136 + -1x

Simplifying
0 = -136 + -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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