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