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Simplifying 2lnx = -1ln(y + -1) Reorder the terms: 2lnx = -1ln(-1 + y) 2lnx = (-1 * -1ln + y * -1ln) 2lnx = (1ln + -1lny) Solving 2lnx = 1ln + -1lny Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1ln' to each side of the equation. -1ln + 2lnx = 1ln + -1ln + -1lny Combine like terms: 1ln + -1ln = 0 -1ln + 2lnx = 0 + -1lny -1ln + 2lnx = -1lny Add 'lny' to each side of the equation. -1ln + 2lnx + lny = -1lny + lny Combine like terms: -1lny + lny = 0 -1ln + 2lnx + lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-1 + 2x + y) = 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 '(-1 + 2x + y)' equal to zero and attempt to solve: Simplifying -1 + 2x + y = 0 Solving -1 + 2x + y = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2x + 1 + y = 0 + 1 Reorder the terms: -1 + 1 + 2x + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x + y = 0 + 1 2x + y = 0 + 1 Combine like terms: 0 + 1 = 1 2x + y = 1 Add '-2x' to each side of the equation. 2x + -2x + y = 1 + -2x Combine like terms: 2x + -2x = 0 0 + y = 1 + -2x y = 1 + -2x Add '-1y' to each side of the equation. y + -1y = 1 + -2x + -1y Combine like terms: y + -1y = 0 0 = 1 + -2x + -1y Simplifying 0 = 1 + -2x + -1y 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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