Xlnx+6lnx=5lnx

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Solution for Xlnx+6lnx=5lnx equation: 


Simplifying
Xlnx + 6lnx = 5lnx

Reorder the terms:
6lnx + lnxX = 5lnx

Solving
6lnx + lnxX = 5lnx

Solving for variable 'l'.

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

Add '-5lnx' to each side of the equation.
6lnx + -5lnx + lnxX = 5lnx + -5lnx

Combine like terms: 6lnx + -5lnx = 1lnx
1lnx + lnxX = 5lnx + -5lnx

Combine like terms: 5lnx + -5lnx = 0
1lnx + lnxX = 0

Factor out the Greatest Common Factor (GCF), 'lnx'.
lnx(1 + X) = 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 '(1 + X)' equal to zero and attempt to solve:

Simplifying
1 + X = 0

Solving
1 + X = 0

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

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

Combine like terms: 1 + -1 = 0
0 + X = 0 + -1
X = 0 + -1

Combine like terms: 0 + -1 = -1
X = -1

Add '-1X' to each side of the equation.
X + -1X = -1 + -1X

Combine like terms: X + -1X = 0
0 = -1 + -1X

Simplifying
0 = -1 + -1X

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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