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Simplifying 4ln(x + 5) + -7lnx = 0 Reorder the terms: 4ln(5 + x) + -7lnx = 0 (5 * 4ln + x * 4ln) + -7lnx = 0 (20ln + 4lnx) + -7lnx = 0 Combine like terms: 4lnx + -7lnx = -3lnx 20ln + -3lnx = 0 Solving 20ln + -3lnx = 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(20 + -3x) = 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 '(20 + -3x)' equal to zero and attempt to solve: Simplifying 20 + -3x = 0 Solving 20 + -3x = 0 Move all terms containing l to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -3x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -3x = 0 + -20 -3x = 0 + -20 Combine like terms: 0 + -20 = -20 -3x = -20 Add '3x' to each side of the equation. -3x + 3x = -20 + 3x Combine like terms: -3x + 3x = 0 0 = -20 + 3x Simplifying 0 = -20 + 3x 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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