2lg(x-3)-lg(x+3)=0

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Solution for 2lg(x-3)-lg(x+3)=0 equation: 


Simplifying
2lg(x + -3) + -1lg(x + 3) = 0

Reorder the terms:
2gl(-3 + x) + -1lg(x + 3) = 0
(-3 * 2gl + x * 2gl) + -1lg(x + 3) = 0
(-6gl + 2glx) + -1lg(x + 3) = 0

Reorder the terms:
-6gl + 2glx + -1gl(3 + x) = 0
-6gl + 2glx + (3 * -1gl + x * -1gl) = 0
-6gl + 2glx + (-3gl + -1glx) = 0

Reorder the terms:
-6gl + -3gl + 2glx + -1glx = 0

Combine like terms: -6gl + -3gl = -9gl
-9gl + 2glx + -1glx = 0

Combine like terms: 2glx + -1glx = 1glx
-9gl + 1glx = 0

Solving
-9gl + 1glx = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), 'gl'.
gl(-9 + x) = 0


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

Simplifying
gl = 0

Solving
gl = 0

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

Simplifying
gl = 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 '(-9 + x)' equal to zero and attempt to solve:

Simplifying
-9 + x = 0

Solving
-9 + x = 0

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

Add '9' to each side of the equation.
-9 + 9 + x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + x = 0 + 9
x = 0 + 9

Combine like terms: 0 + 9 = 9
x = 9

Add '-1x' to each side of the equation.
x + -1x = 9 + -1x

Combine like terms: x + -1x = 0
0 = 9 + -1x

Simplifying
0 = 9 + -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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