log(x^2-2x)=log(35)

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Solution for log(x^2-2x)=log(35) equation: 


Simplifying
log(x2 + -2x) = log(35)

Reorder the terms:
glo(-2x + x2) = log(35)
(-2x * glo + x2 * glo) = log(35)
(-2glox + glox2) = log(35)

Reorder the terms for easier multiplication:
-2glox + glox2 = 35glo

Solving
-2glox + glox2 = 35glo

Solving for variable 'g'.

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

Add '-35glo' to each side of the equation.
-2glox + -35glo + glox2 = 35glo + -35glo

Reorder the terms:
-35glo + -2glox + glox2 = 35glo + -35glo

Combine like terms: 35glo + -35glo = 0
-35glo + -2glox + glox2 = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-35 + -2x + x2) = 0

Factor a trinomial.
glo((-5 + -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 '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Add 'x' to each side of the equation.
-1x + x = 5 + x

Combine like terms: -1x + x = 0
0 = 5 + x

Simplifying
0 = 5 + 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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