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Simplifying 2ln(x + 7) + -7lnx = 0 Reorder the terms: 2ln(7 + x) + -7lnx = 0 (7 * 2ln + x * 2ln) + -7lnx = 0 (14ln + 2lnx) + -7lnx = 0 Combine like terms: 2lnx + -7lnx = -5lnx 14ln + -5lnx = 0 Solving 14ln + -5lnx = 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(14 + -5x) = 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 '(14 + -5x)' equal to zero and attempt to solve: Simplifying 14 + -5x = 0 Solving 14 + -5x = 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 + -5x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = 0 + -14 -5x = 0 + -14 Combine like terms: 0 + -14 = -14 -5x = -14 Add '5x' to each side of the equation. -5x + 5x = -14 + 5x Combine like terms: -5x + 5x = 0 0 = -14 + 5x Simplifying 0 = -14 + 5x 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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