ln(x-4)+ln(4x+1)=5(findx)

Solution for ln(x-4)+ln(4x+1)=5(findx) equation:

Simplifying
ln(x + -4) + ln(4x + 1) = 5(findx)

Reorder the terms:
ln(-4 + x) + ln(4x + 1) = 5(findx)
(-4 * ln + x * ln) + ln(4x + 1) = 5(findx)
(-4ln + lnx) + ln(4x + 1) = 5(findx)

Reorder the terms:
-4ln + lnx + ln(1 + 4x) = 5(findx)
-4ln + lnx + (1 * ln + 4x * ln) = 5(findx)
-4ln + lnx + (1ln + 4lnx) = 5(findx)

Reorder the terms:
-4ln + 1ln + lnx + 4lnx = 5(findx)

Combine like terms: -4ln + 1ln = -3ln
-3ln + lnx + 4lnx = 5(findx)

Combine like terms: lnx + 4lnx = 5lnx
-3ln + 5lnx = 5(findx)

Solving
-3ln + 5lnx = 5dfinx

Solving for variable 'l'.

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

Reorder the terms:
-5dfinx + -3ln + 5lnx = 5dfinx + -5dfinx

Combine like terms: 5dfinx + -5dfinx = 0
-5dfinx + -3ln + 5lnx = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-5dfix + -3l + 5lx) = 0

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

Simplifying
n = 0

Solving
n = 0

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

Add '-1n' to each side of the equation.
n + -1n = 0 + -1n
Remove the zero:
0 = -1n

Simplifying
0 = -1n

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 '(-5dfix + -3l + 5lx)' equal to zero and attempt to solve:

Simplifying
-5dfix + -3l + 5lx = 0

Solving
-5dfix + -3l + 5lx = 0

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

Add '5dfix' to each side of the equation.
-5dfix + -3l + 5dfix + 5lx = 0 + 5dfix

Reorder the terms:
-5dfix + 5dfix + -3l + 5lx = 0 + 5dfix

Combine like terms: -5dfix + 5dfix = 0
0 + -3l + 5lx = 0 + 5dfix
-3l + 5lx = 0 + 5dfix
Remove the zero:
-3l + 5lx = 5dfix

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.