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Simplifying 2ln(x) + -1ln(2) + -1ln(x + 12) = 0 Multiply ln * x 2lnx + -1ln(2) + -1ln(x + 12) = 0 Reorder the terms for easier multiplication: 2lnx + -1 * 2ln + -1ln(x + 12) = 0 Multiply -1 * 2 2lnx + -2ln + -1ln(x + 12) = 0 Reorder the terms: 2lnx + -2ln + -1ln(12 + x) = 0 2lnx + -2ln + (12 * -1ln + x * -1ln) = 0 2lnx + -2ln + (-12ln + -1lnx) = 0 Reorder the terms: -2ln + -12ln + 2lnx + -1lnx = 0 Combine like terms: -2ln + -12ln = -14ln -14ln + 2lnx + -1lnx = 0 Combine like terms: 2lnx + -1lnx = 1lnx -14ln + 1lnx = 0 Solving -14ln + 1lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'ln'. ln(-14 + x) = 0Subproblem 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 '(-14 + x)' equal to zero and attempt to solve: Simplifying -14 + x = 0 Solving -14 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + x = 0 + 14 x = 0 + 14 Combine like terms: 0 + 14 = 14 x = 14 Add '-1x' to each side of the equation. x + -1x = 14 + -1x Combine like terms: x + -1x = 0 0 = 14 + -1x Simplifying 0 = 14 + -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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