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Simplifying 2ln(x) + 6ln(y) + -4ln(z) = 0 Multiply ln * x 2lnx + 6ln(y) + -4ln(z) = 0 Multiply ln * y 2lnx + 6lny + -4ln(z) = 0 Multiply ln * z 2lnx + 6lny + -4lnz = 0 Solving 2lnx + 6lny + -4lnz = 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), '2ln'. 2ln(x + 3y + -2z) = 0 Ignore the factor 2.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 '(x + 3y + -2z)' equal to zero and attempt to solve: Simplifying x + 3y + -2z = 0 Solving x + 3y + -2z = 0 Move all terms containing l to the left, all other terms to the right. Add '-1x' to each side of the equation. x + 3y + -1x + -2z = 0 + -1x Reorder the terms: x + -1x + 3y + -2z = 0 + -1x Combine like terms: x + -1x = 0 0 + 3y + -2z = 0 + -1x 3y + -2z = 0 + -1x Remove the zero: 3y + -2z = -1x Add '-3y' to each side of the equation. 3y + -3y + -2z = -1x + -3y Combine like terms: 3y + -3y = 0 0 + -2z = -1x + -3y -2z = -1x + -3y Add '2z' to each side of the equation. -2z + 2z = -1x + -3y + 2z Combine like terms: -2z + 2z = 0 0 = -1x + -3y + 2z Simplifying 0 = -1x + -3y + 2z 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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