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Simplifying 2ln(x + -4) + -9lnx = 0 Reorder the terms: 2ln(-4 + x) + -9lnx = 0 (-4 * 2ln + x * 2ln) + -9lnx = 0 (-8ln + 2lnx) + -9lnx = 0 Combine like terms: 2lnx + -9lnx = -7lnx -8ln + -7lnx = 0 Solving -8ln + -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), '-1ln'. -1ln(8 + 7x) = 0 Ignore the factor -1.Subproblem 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 '(8 + 7x)' equal to zero and attempt to solve: Simplifying 8 + 7x = 0 Solving 8 + 7x = 0 Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 0 + -8 7x = 0 + -8 Combine like terms: 0 + -8 = -8 7x = -8 Add '-7x' to each side of the equation. 7x + -7x = -8 + -7x Combine like terms: 7x + -7x = 0 0 = -8 + -7x Simplifying 0 = -8 + -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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