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Simplifying 9ln(x + -8) + 2ln(x) = 0 Reorder the terms: 9ln(-8 + x) + 2ln(x) = 0 (-8 * 9ln + x * 9ln) + 2ln(x) = 0 (-72ln + 9lnx) + 2ln(x) = 0 Multiply ln * x -72ln + 9lnx + 2lnx = 0 Combine like terms: 9lnx + 2lnx = 11lnx -72ln + 11lnx = 0 Solving -72ln + 11lnx = 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(-72 + 11x) = 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 '(-72 + 11x)' equal to zero and attempt to solve: Simplifying -72 + 11x = 0 Solving -72 + 11x = 0 Move all terms containing l to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 11x = 0 + 72 Combine like terms: -72 + 72 = 0 0 + 11x = 0 + 72 11x = 0 + 72 Combine like terms: 0 + 72 = 72 11x = 72 Add '-11x' to each side of the equation. 11x + -11x = 72 + -11x Combine like terms: 11x + -11x = 0 0 = 72 + -11x Simplifying 0 = 72 + -11x 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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