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Simplifying 7ln(x + 7) + -9lnx = 0 Reorder the terms: 7ln(7 + x) + -9lnx = 0 (7 * 7ln + x * 7ln) + -9lnx = 0 (49ln + 7lnx) + -9lnx = 0 Combine like terms: 7lnx + -9lnx = -2lnx 49ln + -2lnx = 0 Solving 49ln + -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(49 + -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 '(49 + -2x)' equal to zero and attempt to solve: Simplifying 49 + -2x = 0 Solving 49 + -2x = 0 Move all terms containing l to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -2x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -2x = 0 + -49 -2x = 0 + -49 Combine like terms: 0 + -49 = -49 -2x = -49 Add '2x' to each side of the equation. -2x + 2x = -49 + 2x Combine like terms: -2x + 2x = 0 0 = -49 + 2x Simplifying 0 = -49 + 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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