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Simplifying 6lnx + 2lny + -3lnz = 0 Solving 6lnx + 2lny + -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 + 2y + -3z) = 0Subproblem 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 + 2y + -3z)' equal to zero and attempt to solve: Simplifying 6x + 2y + -3z = 0 Solving 6x + 2y + -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 + 2y + -6x + -3z = 0 + -6x Reorder the terms: 6x + -6x + 2y + -3z = 0 + -6x Combine like terms: 6x + -6x = 0 0 + 2y + -3z = 0 + -6x 2y + -3z = 0 + -6x Remove the zero: 2y + -3z = -6x Add '-2y' to each side of the equation. 2y + -2y + -3z = -6x + -2y Combine like terms: 2y + -2y = 0 0 + -3z = -6x + -2y -3z = -6x + -2y Add '3z' to each side of the equation. -3z + 3z = -6x + -2y + 3z Combine like terms: -3z + 3z = 0 0 = -6x + -2y + 3z Simplifying 0 = -6x + -2y + 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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