2lgx-lg(4x-4)=0

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Solution for 2lgx-lg(4x-4)=0 equation: 


Simplifying
2lgx + -1lg(4x + -4) = 0

Reorder the terms:
2glx + -1gl(-4 + 4x) = 0
2glx + (-4 * -1gl + 4x * -1gl) = 0
2glx + (4gl + -4glx) = 0

Reorder the terms:
4gl + 2glx + -4glx = 0

Combine like terms: 2glx + -4glx = -2glx
4gl + -2glx = 0

Solving
4gl + -2glx = 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), '2gl'.
2gl(2 + -1x) = 0

Ignore the factor 2.

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 '(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.

The solution to this equation could not be determined.

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