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Simplifying 9ln(x + 4) + -2lnx = 0 Reorder the terms: 9ln(4 + x) + -2lnx = 0 (4 * 9ln + x * 9ln) + -2lnx = 0 (36ln + 9lnx) + -2lnx = 0 Combine like terms: 9lnx + -2lnx = 7lnx 36ln + 7lnx = 0 Solving 36ln + 7lnx = 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(36 + 7x) = 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 '(36 + 7x)' equal to zero and attempt to solve: Simplifying 36 + 7x = 0 Solving 36 + 7x = 0 Move all terms containing l to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 7x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 7x = 0 + -36 7x = 0 + -36 Combine like terms: 0 + -36 = -36 7x = -36 Add '-7x' to each side of the equation. 7x + -7x = -36 + -7x Combine like terms: 7x + -7x = 0 0 = -36 + -7x Simplifying 0 = -36 + -7x 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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