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Simplifying 9ln(x + 7) + -7lnx = 0 Reorder the terms: 9ln(7 + x) + -7lnx = 0 (7 * 9ln + x * 9ln) + -7lnx = 0 (63ln + 9lnx) + -7lnx = 0 Combine like terms: 9lnx + -7lnx = 2lnx 63ln + 2lnx = 0 Solving 63ln + 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), 'ln'. ln(63 + 2x) = 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 '(63 + 2x)' equal to zero and attempt to solve: Simplifying 63 + 2x = 0 Solving 63 + 2x = 0 Move all terms containing l to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 2x = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 2x = 0 + -63 2x = 0 + -63 Combine like terms: 0 + -63 = -63 2x = -63 Add '-2x' to each side of the equation. 2x + -2x = -63 + -2x Combine like terms: 2x + -2x = 0 0 = -63 + -2x Simplifying 0 = -63 + -2x 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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