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Simplifying 3ln(2x + 6) + -24 = 0 Reorder the terms: 3ln(6 + 2x) + -24 = 0 (6 * 3ln + 2x * 3ln) + -24 = 0 (18ln + 6lnx) + -24 = 0 Reorder the terms: -24 + 18ln + 6lnx = 0 Solving -24 + 18ln + 6lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 18ln + 24 + 6lnx = 0 + 24 Reorder the terms: -24 + 24 + 18ln + 6lnx = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 18ln + 6lnx = 0 + 24 18ln + 6lnx = 0 + 24 Combine like terms: 0 + 24 = 24 18ln + 6lnx = 24 Reorder the terms: -24 + 18ln + 6lnx = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 18ln + 6lnx = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-4 + 3ln + lnx) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-4 + 3ln + lnx)' equal to zero and attempt to solve: Simplifying -4 + 3ln + lnx = 0 Solving -4 + 3ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 3ln + 4 + lnx = 0 + 4 Reorder the terms: -4 + 4 + 3ln + lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3ln + lnx = 0 + 4 3ln + lnx = 0 + 4 Combine like terms: 0 + 4 = 4 3ln + lnx = 4 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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