log(x)=log(x^2-56)

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Solution for log(x)=log(x^2-56) equation: 


Simplifying
log(x) = log(x2 + -56)

Multiply glo * x
glox = log(x2 + -56)

Reorder the terms:
glox = glo(-56 + x2)
glox = (-56 * glo + x2 * glo)
glox = (-56glo + glox2)

Solving
glox = -56glo + glox2

Solving for variable 'g'.

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

Add '56glo' to each side of the equation.
56glo + glox = -56glo + 56glo + glox2

Combine like terms: -56glo + 56glo = 0
56glo + glox = 0 + glox2
56glo + glox = glox2

Add '-1glox2' to each side of the equation.
56glo + glox + -1glox2 = glox2 + -1glox2

Combine like terms: glox2 + -1glox2 = 0
56glo + glox + -1glox2 = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(56 + x + -1x2) = 0

Factor a trinomial.
glo((8 + -1x)(7 + 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 '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Add 'x' to each side of the equation.
-1x + x = -8 + x

Combine like terms: -1x + x = 0
0 = -8 + x

Simplifying
0 = -8 + 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 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

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

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

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

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

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

Simplifying
0 = -7 + -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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