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Simplifying ln * 15 = ln(x + -1) + -1ln * 12 Reorder the terms for easier multiplication: 15ln = ln(x + -1) + -1ln * 12 Reorder the terms: 15ln = ln(-1 + x) + -1ln * 12 15ln = (-1 * ln + x * ln) + -1ln * 12 15ln = (-1ln + lnx) + -1ln * 12 Reorder the terms for easier multiplication: 15ln = -1ln + lnx + -1 * 12ln Multiply -1 * 12 15ln = -1ln + lnx + -12ln Reorder the terms: 15ln = -1ln + -12ln + lnx Combine like terms: -1ln + -12ln = -13ln 15ln = -13ln + lnx Solving 15ln = -13ln + lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '13ln' to each side of the equation. 15ln + 13ln = -13ln + 13ln + lnx Combine like terms: 15ln + 13ln = 28ln 28ln = -13ln + 13ln + lnx Combine like terms: -13ln + 13ln = 0 28ln = 0 + lnx 28ln = lnx Add '-1lnx' to each side of the equation. 28ln + -1lnx = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 28ln + -1lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(28 + -1x) = 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 '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Add 'x' to each side of the equation. -1x + x = -28 + x Combine like terms: -1x + x = 0 0 = -28 + x Simplifying 0 = -28 + 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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