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Simplifying (-1lnx + -1ln(x + 1)) * e = 0 Reorder the terms: (-1lnx + -1ln(1 + x)) * e = 0 (-1lnx + (1 * -1ln + x * -1ln)) * e = 0 (-1lnx + (-1ln + -1lnx)) * e = 0 Reorder the terms: (-1ln + -1lnx + -1lnx) * e = 0 Combine like terms: -1lnx + -1lnx = -2lnx (-1ln + -2lnx) * e = 0 Reorder the terms for easier multiplication: e(-1ln + -2lnx) = 0 (-1ln * e + -2lnx * e) = 0 (-1eln + -2elnx) = 0 Solving -1eln + -2elnx = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '-1eln'. -1eln(1 + 2x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'eln' equal to zero and attempt to solve: Simplifying eln = 0 Solving eln = 0 Move all terms containing e to the left, all other terms to the right. Simplifying eln = 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)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing e to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Add '-2x' to each side of the equation. 2x + -2x = -1 + -2x Combine like terms: 2x + -2x = 0 0 = -1 + -2x Simplifying 0 = -1 + -2x 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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