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