Log(-5x-log(4x+1))=0

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Solution for Log(-5x-log(4x+1))=0 equation: 


Simplifying
Log(-5x + -1log(4x + 1)) = 0

Reorder the terms:
goL(-5x + -1glo(1 + 4x)) = 0
goL(-5x + (1 * -1glo + 4x * -1glo)) = 0
goL(-5x + (-1glo + -4glox)) = 0

Reorder the terms:
goL(-1glo + -4glox + -5x) = 0
(-1glo * goL + -4glox * goL + -5x * goL) = 0

Reorder the terms:
(-5goxL + -1g2lo2L + -4g2lo2xL) = 0
(-5goxL + -1g2lo2L + -4g2lo2xL) = 0

Solving
-5goxL + -1g2lo2L + -4g2lo2xL = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '-1goL'.
-1goL(5x + glo + 4glox) = 0

Ignore the factor -1.

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

Simplifying
goL = 0

Solving
goL = 0

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

Simplifying
goL = 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 '(5x + glo + 4glox)' equal to zero and attempt to solve:

Simplifying
5x + glo + 4glox = 0

Reorder the terms:
glo + 4glox + 5x = 0

Solving
glo + 4glox + 5x = 0

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

Add '-5x' to each side of the equation.
glo + 4glox + 5x + -5x = 0 + -5x

Combine like terms: 5x + -5x = 0
glo + 4glox + 0 = 0 + -5x
glo + 4glox = 0 + -5x
Remove the zero:
glo + 4glox = -5x

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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