lg(5x-6)=21gx

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Solution for lg(5x-6)=21gx equation: 


Simplifying
lg(5x + -6) = 21gx

Reorder the terms:
gl(-6 + 5x) = 21gx
(-6 * gl + 5x * gl) = 21gx
(-6gl + 5glx) = 21gx

Solving
-6gl + 5glx = 21gx

Solving for variable 'g'.

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

Add '-21gx' to each side of the equation.
-6gl + 5glx + -21gx = 21gx + -21gx

Combine like terms: 21gx + -21gx = 0
-6gl + 5glx + -21gx = 0

Factor out the Greatest Common Factor (GCF), 'g'.
g(-6l + 5lx + -21x) = 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 '(-6l + 5lx + -21x)' equal to zero and attempt to solve:

Simplifying
-6l + 5lx + -21x = 0

Solving
-6l + 5lx + -21x = 0

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

Add '6l' to each side of the equation.
-6l + 5lx + 6l + -21x = 0 + 6l

Reorder the terms:
-6l + 6l + 5lx + -21x = 0 + 6l

Combine like terms: -6l + 6l = 0
0 + 5lx + -21x = 0 + 6l
5lx + -21x = 0 + 6l
Remove the zero:
5lx + -21x = 6l

Add '-5lx' to each side of the equation.
5lx + -5lx + -21x = 6l + -5lx

Combine like terms: 5lx + -5lx = 0
0 + -21x = 6l + -5lx
-21x = 6l + -5lx

Add '21x' to each side of the equation.
-21x + 21x = 6l + -5lx + 21x

Combine like terms: -21x + 21x = 0
0 = 6l + -5lx + 21x

Simplifying
0 = 6l + -5lx + 21x

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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