Log(x^2-2x)=log(54+x)

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Solution for Log(x^2-2x)=log(54+x) equation: 


Simplifying
Log(x2 + -2x) = log(54 + x)

Reorder the terms:
goL(-2x + x2) = log(54 + x)
(-2x * goL + x2 * goL) = log(54 + x)
(-2goxL + gox2L) = log(54 + x)
-2goxL + gox2L = (54 * glo + x * glo)
-2goxL + gox2L = (54glo + glox)

Solving
-2goxL + gox2L = 54glo + glox

Solving for variable 'g'.

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

Add '-54glo' to each side of the equation.
-2goxL + -54glo + gox2L = 54glo + -54glo + glox

Reorder the terms:
-54glo + -2goxL + gox2L = 54glo + -54glo + glox

Combine like terms: 54glo + -54glo = 0
-54glo + -2goxL + gox2L = 0 + glox
-54glo + -2goxL + gox2L = glox

Add '-1glox' to each side of the equation.
-54glo + -2goxL + -1glox + gox2L = glox + -1glox

Reorder the terms:
-54glo + -1glox + -2goxL + gox2L = glox + -1glox

Combine like terms: glox + -1glox = 0
-54glo + -1glox + -2goxL + gox2L = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-54l + -1lx + -2xL + x2L) = 0


Subproblem 1
Set the factor 'go' equal to zero and attempt to solve:

Simplifying
go = 0

Solving
go = 0

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

Simplifying
go = 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 '(-54l + -1lx + -2xL + x2L)' equal to zero and attempt to solve:

Simplifying
-54l + -1lx + -2xL + x2L = 0

Solving
-54l + -1lx + -2xL + x2L = 0

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

Add '54l' to each side of the equation.
-54l + -1lx + -2xL + 54l + x2L = 0 + 54l

Reorder the terms:
-54l + 54l + -1lx + -2xL + x2L = 0 + 54l

Combine like terms: -54l + 54l = 0
0 + -1lx + -2xL + x2L = 0 + 54l
-1lx + -2xL + x2L = 0 + 54l
Remove the zero:
-1lx + -2xL + x2L = 54l

Add 'lx' to each side of the equation.
-1lx + -2xL + lx + x2L = 54l + lx

Reorder the terms:
-1lx + lx + -2xL + x2L = 54l + lx

Combine like terms: -1lx + lx = 0
0 + -2xL + x2L = 54l + lx
-2xL + x2L = 54l + lx

Add '2xL' to each side of the equation.
-2xL + 2xL + x2L = 54l + lx + 2xL

Combine like terms: -2xL + 2xL = 0
0 + x2L = 54l + lx + 2xL
x2L = 54l + lx + 2xL

Add '-1x2L' to each side of the equation.
x2L + -1x2L = 54l + lx + 2xL + -1x2L

Combine like terms: x2L + -1x2L = 0
0 = 54l + lx + 2xL + -1x2L

Simplifying
0 = 54l + lx + 2xL + -1x2L

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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