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Simplifying 0 = lny + ln(y + -3) Reorder the terms: 0 = lny + ln(-3 + y) 0 = lny + (-3 * ln + y * ln) 0 = lny + (-3ln + lny) Reorder the terms: 0 = -3ln + lny + lny Combine like terms: lny + lny = 2lny 0 = -3ln + 2lny Solving 0 = -3ln + 2lny Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '3ln' to each side of the equation. 0 + 3ln = -3ln + 3ln + 2lny Remove the zero: 3ln = -3ln + 3ln + 2lny Combine like terms: -3ln + 3ln = 0 3ln = 0 + 2lny 3ln = 2lny Add '-2lny' to each side of the equation. 3ln + -2lny = 2lny + -2lny Combine like terms: 2lny + -2lny = 0 3ln + -2lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(3 + -2y) = 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 '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Add '2y' to each side of the equation. -2y + 2y = -3 + 2y Combine like terms: -2y + 2y = 0 0 = -3 + 2y Simplifying 0 = -3 + 2y 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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