lg(4x+5)=21gx

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Solution for lg(4x+5)=21gx equation: 


Simplifying
lg(4x + 5) = 21gx

Reorder the terms:
gl(5 + 4x) = 21gx
(5 * gl + 4x * gl) = 21gx
(5gl + 4glx) = 21gx

Solving
5gl + 4glx = 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.
5gl + 4glx + -21gx = 21gx + -21gx

Combine like terms: 21gx + -21gx = 0
5gl + 4glx + -21gx = 0

Factor out the Greatest Common Factor (GCF), 'g'.
g(5l + 4lx + -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 '(5l + 4lx + -21x)' equal to zero and attempt to solve:

Simplifying
5l + 4lx + -21x = 0

Solving
5l + 4lx + -21x = 0

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

Add '-5l' to each side of the equation.
5l + 4lx + -5l + -21x = 0 + -5l

Reorder the terms:
5l + -5l + 4lx + -21x = 0 + -5l

Combine like terms: 5l + -5l = 0
0 + 4lx + -21x = 0 + -5l
4lx + -21x = 0 + -5l
Remove the zero:
4lx + -21x = -5l

Add '-4lx' to each side of the equation.
4lx + -4lx + -21x = -5l + -4lx

Combine like terms: 4lx + -4lx = 0
0 + -21x = -5l + -4lx
-21x = -5l + -4lx

Add '21x' to each side of the equation.
-21x + 21x = -5l + -4lx + 21x

Combine like terms: -21x + 21x = 0
0 = -5l + -4lx + 21x

Simplifying
0 = -5l + -4lx + 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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