(4-lnx)*lnx=0

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Solution for (4-lnx)*lnx=0 equation: 


Simplifying
(4 + -1lnx) * lnx = 0

Reorder the terms for easier multiplication:
lnx(4 + -1lnx) = 0
(4 * lnx + -1lnx * lnx) = 0
(4lnx + -1l2n2x2) = 0

Solving
4lnx + -1l2n2x2 = 0

Solving for variable 'l'.

Factor out the Greatest Common Factor (GCF), 'lnx'.
lnx(4 + -1lnx) = 0


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

Simplifying
lnx = 0

Solving
lnx = 0

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

Simplifying
lnx = 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 '(4 + -1lnx)' equal to zero and attempt to solve:

Simplifying
4 + -1lnx = 0

Solving
4 + -1lnx = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1lnx = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1lnx = 0 + -4
-1lnx = 0 + -4

Combine like terms: 0 + -4 = -4
-1lnx = -4

Divide each side by '-1nx'.
l = 4n-1x-1

Simplifying
l = 4n-1x-1
Solution
l = {4n-1x-1}

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