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Simplifying lnw + -3[2ln(w + -5) + -1ln(w + 5)] = 0 Reorder the terms: lnw + -3[2ln(-5 + w) + -1ln(w + 5)] = 0 lnw + -3[(-5 * 2ln + w * 2ln) + -1ln(w + 5)] = 0 lnw + -3[(-10ln + 2lnw) + -1ln(w + 5)] = 0 Reorder the terms: lnw + -3[-10ln + 2lnw + -1ln(5 + w)] = 0 lnw + -3[-10ln + 2lnw + (5 * -1ln + w * -1ln)] = 0 lnw + -3[-10ln + 2lnw + (-5ln + -1lnw)] = 0 Reorder the terms: lnw + -3[-10ln + -5ln + 2lnw + -1lnw] = 0 Combine like terms: -10ln + -5ln = -15ln lnw + -3[-15ln + 2lnw + -1lnw] = 0 Combine like terms: 2lnw + -1lnw = 1lnw lnw + -3[-15ln + 1lnw] = 0 lnw + [-15ln * -3 + 1lnw * -3] = 0 lnw + [45ln + -3lnw] = 0 Reorder the terms: 45ln + lnw + -3lnw = 0 Combine like terms: lnw + -3lnw = -2lnw 45ln + -2lnw = 0 Solving 45ln + -2lnw = 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(45 + -2w) = 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 '(45 + -2w)' equal to zero and attempt to solve: Simplifying 45 + -2w = 0 Solving 45 + -2w = 0 Move all terms containing l to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -2w = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -2w = 0 + -45 -2w = 0 + -45 Combine like terms: 0 + -45 = -45 -2w = -45 Add '2w' to each side of the equation. -2w + 2w = -45 + 2w Combine like terms: -2w + 2w = 0 0 = -45 + 2w Simplifying 0 = -45 + 2w 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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