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Simplifying -4 = 2ln(x + -6) Reorder the terms: -4 = 2ln(-6 + x) -4 = (-6 * 2ln + x * 2ln) -4 = (-12ln + 2lnx) Solving -4 = -12ln + 2lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '12ln' to each side of the equation. -4 + 12ln = -12ln + 12ln + 2lnx Combine like terms: -12ln + 12ln = 0 -4 + 12ln = 0 + 2lnx -4 + 12ln = 2lnx Add '-2lnx' to each side of the equation. -4 + 12ln + -2lnx = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 -4 + 12ln + -2lnx = 0 Add '4' to each side of the equation. -4 + 12ln + 4 + -2lnx = 0 + 4 Reorder the terms: -4 + 4 + 12ln + -2lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 12ln + -2lnx = 0 + 4 12ln + -2lnx = 0 + 4 Combine like terms: 0 + 4 = 4 12ln + -2lnx = 4 Reorder the terms: -4 + 12ln + -2lnx = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 12ln + -2lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 6ln + -1lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 6ln + -1lnx)' equal to zero and attempt to solve: Simplifying -2 + 6ln + -1lnx = 0 Solving -2 + 6ln + -1lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 6ln + 2 + -1lnx = 0 + 2 Reorder the terms: -2 + 2 + 6ln + -1lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 6ln + -1lnx = 0 + 2 6ln + -1lnx = 0 + 2 Combine like terms: 0 + 2 = 2 6ln + -1lnx = 2 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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