Lg(3x+4)=2lgx

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Solution for Lg(3x+4)=2lgx equation: 


Simplifying
Lg(3x + 4) = 2lgx

Reorder the terms:
gL(4 + 3x) = 2lgx
(4 * gL + 3x * gL) = 2lgx
(4gL + 3gxL) = 2lgx

Solving
4gL + 3gxL = 2glx

Solving for variable 'g'.

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

Add '-2glx' to each side of the equation.
4gL + -2glx + 3gxL = 2glx + -2glx

Combine like terms: 2glx + -2glx = 0
4gL + -2glx + 3gxL = 0

Factor out the Greatest Common Factor (GCF), 'g'.
g(4L + -2lx + 3xL) = 0


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

Simplifying
g = 0

Solving
g = 0

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

Simplifying
g = 0

Subproblem 2
Set the factor '(4L + -2lx + 3xL)' equal to zero and attempt to solve:

Simplifying
4L + -2lx + 3xL = 0

Solving
4L + -2lx + 3xL = 0

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

Add '-4L' to each side of the equation.
4L + -2lx + -4L + 3xL = 0 + -4L

Reorder the terms:
4L + -4L + -2lx + 3xL = 0 + -4L

Combine like terms: 4L + -4L = 0
0 + -2lx + 3xL = 0 + -4L
-2lx + 3xL = 0 + -4L
Remove the zero:
-2lx + 3xL = -4L

Add '2lx' to each side of the equation.
-2lx + 2lx + 3xL = -4L + 2lx

Combine like terms: -2lx + 2lx = 0
0 + 3xL = -4L + 2lx
3xL = -4L + 2lx

Add '-3xL' to each side of the equation.
3xL + -3xL = -4L + 2lx + -3xL

Combine like terms: 3xL + -3xL = 0
0 = -4L + 2lx + -3xL

Simplifying
0 = -4L + 2lx + -3xL

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
g = {0}

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