log(x^2-9)=log(5x+5)

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Solution for log(x^2-9)=log(5x+5) equation: 


Simplifying
log(x2 + -9) = log(5x + 5)

Reorder the terms:
glo(-9 + x2) = log(5x + 5)
(-9 * glo + x2 * glo) = log(5x + 5)
(-9glo + glox2) = log(5x + 5)

Reorder the terms:
-9glo + glox2 = glo(5 + 5x)
-9glo + glox2 = (5 * glo + 5x * glo)
-9glo + glox2 = (5glo + 5glox)

Solving
-9glo + glox2 = 5glo + 5glox

Solving for variable 'g'.

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

Add '-5glo' to each side of the equation.
-9glo + -5glo + glox2 = 5glo + -5glo + 5glox

Combine like terms: -9glo + -5glo = -14glo
-14glo + glox2 = 5glo + -5glo + 5glox

Combine like terms: 5glo + -5glo = 0
-14glo + glox2 = 0 + 5glox
-14glo + glox2 = 5glox

Add '-5glox' to each side of the equation.
-14glo + -5glox + glox2 = 5glox + -5glox

Combine like terms: 5glox + -5glox = 0
-14glo + -5glox + glox2 = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-14 + -5x + x2) = 0

Factor a trinomial.
glo((-2 + -1x)(7 + -1x)) = 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 '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 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 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Add 'x' to each side of the equation.
-1x + x = 2 + x

Combine like terms: -1x + x = 0
0 = 2 + x

Simplifying
0 = 2 + x

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 '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Add 'x' to each side of the equation.
-1x + x = -7 + x

Combine like terms: -1x + x = 0
0 = -7 + x

Simplifying
0 = -7 + x

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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