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Simplifying 0 = Y + 2(lnY) Solving 0 = Y + 2lnY Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-1Y' to each side of the equation. 0 + -1Y = Y + -1Y + 2lnY Remove the zero: -1Y = Y + -1Y + 2lnY Combine like terms: Y + -1Y = 0 -1Y = 0 + 2lnY -1Y = 2lnY Add '-2lnY' to each side of the equation. -1Y + -2lnY = 2lnY + -2lnY Combine like terms: 2lnY + -2lnY = 0 -1Y + -2lnY = 0 Factor out the Greatest Common Factor (GCF), '-1Y'. -1Y(1 + 2ln) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'Y' equal to zero and attempt to solve: Simplifying Y = 0 Solving Y = 0 Move all terms containing Y to the left, all other terms to the right. Simplifying Y = 0Subproblem 2
Set the factor '(1 + 2ln)' equal to zero and attempt to solve: Simplifying 1 + 2ln = 0 Solving 1 + 2ln = 0 Move all terms containing Y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2ln = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2ln = 0 + -1 2ln = 0 + -1 Combine like terms: 0 + -1 = -1 2ln = -1 Add '-2ln' to each side of the equation. 2ln + -2ln = -1 + -2ln Combine like terms: 2ln + -2ln = 0 0 = -1 + -2ln Simplifying 0 = -1 + -2ln The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
Y = {0}
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