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Simplifying -2ln(-3x + 9) + -4 = 0 Reorder the terms: -2ln(9 + -3x) + -4 = 0 (9 * -2ln + -3x * -2ln) + -4 = 0 (-18ln + 6lnx) + -4 = 0 Reorder the terms: -4 + -18ln + 6lnx = 0 Solving -4 + -18ln + 6lnx = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -18ln + 4 + 6lnx = 0 + 4 Reorder the terms: -4 + 4 + -18ln + 6lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -18ln + 6lnx = 0 + 4 -18ln + 6lnx = 0 + 4 Combine like terms: 0 + 4 = 4 -18ln + 6lnx = 4 Reorder the terms: -4 + -18ln + 6lnx = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -18ln + 6lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -9ln + 3lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -9ln + 3lnx)' equal to zero and attempt to solve: Simplifying -2 + -9ln + 3lnx = 0 Solving -2 + -9ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -9ln + 2 + 3lnx = 0 + 2 Reorder the terms: -2 + 2 + -9ln + 3lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -9ln + 3lnx = 0 + 2 -9ln + 3lnx = 0 + 2 Combine like terms: 0 + 2 = 2 -9ln + 3lnx = 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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