Ln*2x-ln*x-ln*6=0

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Solution for Ln*2x-ln*x-ln*6=0 equation:


Simplifying
Ln * 2x + -1ln * x + -1ln * 6 = 0

Reorder the terms for easier multiplication:
2nL * x + -1ln * x + -1ln * 6 = 0

Multiply nL * x
2nxL + -1ln * x + -1ln * 6 = 0

Multiply ln * x
2nxL + -1lnx + -1ln * 6 = 0

Reorder the terms for easier multiplication:
2nxL + -1lnx + -1 * 6ln = 0

Multiply -1 * 6
2nxL + -1lnx + -6ln = 0

Reorder the terms:
-6ln + -1lnx + 2nxL = 0

Solving
-6ln + -1lnx + 2nxL = 0

Solving for variable 'l'.

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

Add '-2nxL' to each side of the equation.
-6ln + -1lnx + 2nxL + -2nxL = 0 + -2nxL

Combine like terms: 2nxL + -2nxL = 0
-6ln + -1lnx + 0 = 0 + -2nxL
-6ln + -1lnx = 0 + -2nxL
Remove the zero:
-6ln + -1lnx = -2nxL

Combine like terms: -2nxL + 2nxL = 0
-6ln + -1lnx + 2nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-6l + -1lx + 2xL) = 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 '(-6l + -1lx + 2xL)' equal to zero and attempt to solve: Simplifying -6l + -1lx + 2xL = 0 Solving -6l + -1lx + 2xL = 0 Move all terms containing l to the left, all other terms to the right. Add '-2xL' to each side of the equation. -6l + -1lx + 2xL + -2xL = 0 + -2xL Combine like terms: 2xL + -2xL = 0 -6l + -1lx + 0 = 0 + -2xL -6l + -1lx = 0 + -2xL Remove the zero: -6l + -1lx = -2xL 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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