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Simplifying x + ln(x2 + -1x) = 0 Reorder the terms: x + ln(-1x + x2) = 0 x + (-1x * ln + x2 * ln) = 0 x + (-1lnx + lnx2) = 0 Reorder the terms: -1lnx + lnx2 + x = 0 Solving -1lnx + lnx2 + x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1x' to each side of the equation. -1lnx + lnx2 + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 -1lnx + lnx2 + 0 = 0 + -1x -1lnx + lnx2 = 0 + -1x Remove the zero: -1lnx + lnx2 = -1x Combine like terms: -1x + x = 0 -1lnx + lnx2 + x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1ln + lnx + 1) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing l to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(-1ln + lnx + 1)' equal to zero and attempt to solve: Simplifying -1ln + lnx + 1 = 0 Reorder the terms: 1 + -1ln + lnx = 0 Solving 1 + -1ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1ln + -1 + lnx = 0 + -1 Reorder the terms: 1 + -1 + -1ln + lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1ln + lnx = 0 + -1 -1ln + lnx = 0 + -1 Combine like terms: 0 + -1 = -1 -1ln + lnx = -1 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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