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Simplifying Ln(y + 5) + ln(y + -2) = ln(60) Reorder the terms: nL(5 + y) + ln(y + -2) = ln(60) (5 * nL + y * nL) + ln(y + -2) = ln(60) (5nL + nyL) + ln(y + -2) = ln(60) Reorder the terms: 5nL + nyL + ln(-2 + y) = ln(60) 5nL + nyL + (-2 * ln + y * ln) = ln(60) 5nL + nyL + (-2ln + lny) = ln(60) Reorder the terms: -2ln + lny + 5nL + nyL = ln(60) Reorder the terms for easier multiplication: -2ln + lny + 5nL + nyL = 60ln Solving -2ln + lny + 5nL + nyL = 60ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-60ln' to each side of the equation. -2ln + lny + 5nL + -60ln + nyL = 60ln + -60ln Reorder the terms: -2ln + -60ln + lny + 5nL + nyL = 60ln + -60ln Combine like terms: -2ln + -60ln = -62ln -62ln + lny + 5nL + nyL = 60ln + -60ln Combine like terms: 60ln + -60ln = 0 -62ln + lny + 5nL + nyL = 0 Add '-5nL' to each side of the equation. -62ln + lny + 5nL + -5nL + nyL = 0 + -5nL Combine like terms: 5nL + -5nL = 0 -62ln + lny + 0 + nyL = 0 + -5nL -62ln + lny + nyL = 0 + -5nL Remove the zero: -62ln + lny + nyL = -5nL Add '-1nyL' to each side of the equation. -62ln + lny + nyL + -1nyL = -5nL + -1nyL Combine like terms: nyL + -1nyL = 0 -62ln + lny + 0 = -5nL + -1nyL -62ln + lny = -5nL + -1nyL Reorder the terms: -62ln + lny + 5nL + nyL = -5nL + 5nL + -1nyL + nyL Combine like terms: -5nL + 5nL = 0 -62ln + lny + 5nL + nyL = 0 + -1nyL + nyL -62ln + lny + 5nL + nyL = -1nyL + nyL Combine like terms: -1nyL + nyL = 0 -62ln + lny + 5nL + nyL = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-62l + ly + 5L + yL) = 0Subproblem 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 '(-62l + ly + 5L + yL)' equal to zero and attempt to solve: Simplifying -62l + ly + 5L + yL = 0 Reorder the terms: 5L + -62l + ly + yL = 0 Solving 5L + -62l + ly + yL = 0 Move all terms containing l to the left, all other terms to the right. Add '-5L' to each side of the equation. 5L + -62l + ly + -5L + yL = 0 + -5L Reorder the terms: 5L + -5L + -62l + ly + yL = 0 + -5L Combine like terms: 5L + -5L = 0 0 + -62l + ly + yL = 0 + -5L -62l + ly + yL = 0 + -5L Remove the zero: -62l + ly + yL = -5L Add '-1yL' to each side of the equation. -62l + ly + yL + -1yL = -5L + -1yL Combine like terms: yL + -1yL = 0 -62l + ly + 0 = -5L + -1yL -62l + ly = -5L + -1yL 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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