6lnx+4lny-3lnz=0

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Solution for 6lnx+4lny-3lnz=0 equation: 


Simplifying
6lnx + 4lny + -3lnz = 0

Solving
6lnx + 4lny + -3lnz = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(6x + 4y + -3z) = 0


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

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 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 '(6x + 4y + -3z)' equal to zero and attempt to solve:

Simplifying
6x + 4y + -3z = 0

Solving
6x + 4y + -3z = 0

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

Add '-6x' to each side of the equation.
6x + 4y + -6x + -3z = 0 + -6x

Reorder the terms:
6x + -6x + 4y + -3z = 0 + -6x

Combine like terms: 6x + -6x = 0
0 + 4y + -3z = 0 + -6x
4y + -3z = 0 + -6x
Remove the zero:
4y + -3z = -6x

Add '-4y' to each side of the equation.
4y + -4y + -3z = -6x + -4y

Combine like terms: 4y + -4y = 0
0 + -3z = -6x + -4y
-3z = -6x + -4y

Add '3z' to each side of the equation.
-3z + 3z = -6x + -4y + 3z

Combine like terms: -3z + 3z = 0
0 = -6x + -4y + 3z

Simplifying
0 = -6x + -4y + 3z

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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