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Simplifying 7ln(x + 4) + -9lnx = 0 Reorder the terms: 7ln(4 + x) + -9lnx = 0 (4 * 7ln + x * 7ln) + -9lnx = 0 (28ln + 7lnx) + -9lnx = 0 Combine like terms: 7lnx + -9lnx = -2lnx 28ln + -2lnx = 0 Solving 28ln + -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(14 + -1x) = 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 '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Add 'x' to each side of the equation. -1x + x = -14 + x Combine like terms: -1x + x = 0 0 = -14 + x Simplifying 0 = -14 + 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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