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Simplifying 0 = 2ln(1 + -1x2) 0 = (1 * 2ln + -1x2 * 2ln) 0 = (2ln + -2lnx2) Solving 0 = 2ln + -2lnx2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2ln' to each side of the equation. 0 + -2ln = 2ln + -2ln + -2lnx2 Remove the zero: -2ln = 2ln + -2ln + -2lnx2 Combine like terms: 2ln + -2ln = 0 -2ln = 0 + -2lnx2 -2ln = -2lnx2 Add '2lnx2' to each side of the equation. -2ln + 2lnx2 = -2lnx2 + 2lnx2 Combine like terms: -2lnx2 + 2lnx2 = 0 -2ln + 2lnx2 = 0 Factor out the Greatest Common Factor (GCF), '2ln'. 2ln(-1 + x2) = 0 Factor a difference between two squares. 2ln((1 + x)(-1 + x)) = 0 Ignore the factor 2.Subproblem 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 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Add '-1x' to each side of the equation. x + -1x = 1 + -1x Combine like terms: x + -1x = 0 0 = 1 + -1x Simplifying 0 = 1 + -1x 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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