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Simplifying 2ln(x + -2) + 16 = 0 Reorder the terms: 2ln(-2 + x) + 16 = 0 (-2 * 2ln + x * 2ln) + 16 = 0 (-4ln + 2lnx) + 16 = 0 Reorder the terms: 16 + -4ln + 2lnx = 0 Solving 16 + -4ln + 2lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -4ln + -16 + 2lnx = 0 + -16 Reorder the terms: 16 + -16 + -4ln + 2lnx = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -4ln + 2lnx = 0 + -16 -4ln + 2lnx = 0 + -16 Combine like terms: 0 + -16 = -16 -4ln + 2lnx = -16 Reorder the terms: 16 + -4ln + 2lnx = -16 + 16 Combine like terms: -16 + 16 = 0 16 + -4ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -2ln + lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -2ln + lnx)' equal to zero and attempt to solve: Simplifying 8 + -2ln + lnx = 0 Solving 8 + -2ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -2ln + -8 + lnx = 0 + -8 Reorder the terms: 8 + -8 + -2ln + lnx = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2ln + lnx = 0 + -8 -2ln + lnx = 0 + -8 Combine like terms: 0 + -8 = -8 -2ln + lnx = -8 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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