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Simplifying 2ln(-2x + -5) + -4ln(-2x + -5) + -1ln(-1) = 0 Reorder the terms: 2ln(-5 + -2x) + -4ln(-2x + -5) + -1ln(-1) = 0 (-5 * 2ln + -2x * 2ln) + -4ln(-2x + -5) + -1ln(-1) = 0 (-10ln + -4lnx) + -4ln(-2x + -5) + -1ln(-1) = 0 Reorder the terms: -10ln + -4lnx + -4ln(-5 + -2x) + -1ln(-1) = 0 -10ln + -4lnx + (-5 * -4ln + -2x * -4ln) + -1ln(-1) = 0 -10ln + -4lnx + (20ln + 8lnx) + -1ln(-1) = 0 Reorder the terms for easier multiplication: -10ln + -4lnx + 20ln + 8lnx + -1 * -1ln = 0 Multiply -1 * -1 -10ln + -4lnx + 20ln + 8lnx + 1ln = 0 Reorder the terms: -10ln + 20ln + 1ln + -4lnx + 8lnx = 0 Combine like terms: -10ln + 20ln = 10ln 10ln + 1ln + -4lnx + 8lnx = 0 Combine like terms: 10ln + 1ln = 11ln 11ln + -4lnx + 8lnx = 0 Combine like terms: -4lnx + 8lnx = 4lnx 11ln + 4lnx = 0 Solving 11ln + 4lnx = 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(11 + 4x) = 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 '(11 + 4x)' equal to zero and attempt to solve: Simplifying 11 + 4x = 0 Solving 11 + 4x = 0 Move all terms containing l to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 0 + -11 4x = 0 + -11 Combine like terms: 0 + -11 = -11 4x = -11 Add '-4x' to each side of the equation. 4x + -4x = -11 + -4x Combine like terms: 4x + -4x = 0 0 = -11 + -4x Simplifying 0 = -11 + -4x 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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