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Simplifying 9ln(x + -5) + -3x = 0 Reorder the terms: 9ln(-5 + x) + -3x = 0 (-5 * 9ln + x * 9ln) + -3x = 0 (-45ln + 9lnx) + -3x = 0 Solving -45ln + 9lnx + -3x = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '3x' to each side of the equation. -45ln + 9lnx + -3x + 3x = 0 + 3x Combine like terms: -3x + 3x = 0 -45ln + 9lnx + 0 = 0 + 3x -45ln + 9lnx = 0 + 3x Remove the zero: -45ln + 9lnx = 3x Combine like terms: 3x + -3x = 0 -45ln + 9lnx + -3x = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-15ln + 3lnx + -1x) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-15ln + 3lnx + -1x)' equal to zero and attempt to solve: Simplifying -15ln + 3lnx + -1x = 0 Solving -15ln + 3lnx + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add 'x' to each side of the equation. -15ln + 3lnx + -1x + x = 0 + x Combine like terms: -1x + x = 0 -15ln + 3lnx + 0 = 0 + x -15ln + 3lnx = 0 + x Remove the zero: -15ln + 3lnx = 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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