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Simplifying 4ln(x + 9) + -2lnx = 0 Reorder the terms: 4ln(9 + x) + -2lnx = 0 (9 * 4ln + x * 4ln) + -2lnx = 0 (36ln + 4lnx) + -2lnx = 0 Combine like terms: 4lnx + -2lnx = 2lnx 36ln + 2lnx = 0 Solving 36ln + 2lnx = 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), '2ln'. 2ln(18 + x) = 0 Ignore the factor 2.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 '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Add '-1x' to each side of the equation. x + -1x = -18 + -1x Combine like terms: x + -1x = 0 0 = -18 + -1x Simplifying 0 = -18 + -1x 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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