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Simplifying ln(y + 5)(y + -3) = 0 Reorder the terms: ln(5 + y)(y + -3) = 0 Reorder the terms: ln(5 + y)(-3 + y) = 0 Multiply (5 + y) * (-3 + y) ln(5(-3 + y) + y(-3 + y)) = 0 ln((-3 * 5 + y * 5) + y(-3 + y)) = 0 ln((-15 + 5y) + y(-3 + y)) = 0 ln(-15 + 5y + (-3 * y + y * y)) = 0 ln(-15 + 5y + (-3y + y2)) = 0 Combine like terms: 5y + -3y = 2y ln(-15 + 2y + y2) = 0 (-15 * ln + 2y * ln + y2 * ln) = 0 (-15ln + 2lny + lny2) = 0 Solving -15ln + 2lny + lny2 = 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(-15 + 2y + y2) = 0 Factor a trinomial. ln((-5 + -1y)(3 + -1y)) = 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 '(-5 + -1y)' equal to zero and attempt to solve: Simplifying -5 + -1y = 0 Solving -5 + -1y = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1y = 0 + 5 -1y = 0 + 5 Combine like terms: 0 + 5 = 5 -1y = 5 Add 'y' to each side of the equation. -1y + y = 5 + y Combine like terms: -1y + y = 0 0 = 5 + y Simplifying 0 = 5 + y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 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 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Add 'y' to each side of the equation. -1y + y = -3 + y Combine like terms: -1y + y = 0 0 = -3 + y Simplifying 0 = -3 + y 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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