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Simplifying 4ln(-5r + -2) + 4 = 0 Reorder the terms: 4ln(-2 + -5r) + 4 = 0 (-2 * 4ln + -5r * 4ln) + 4 = 0 (-8ln + -20lnr) + 4 = 0 Reorder the terms: 4 + -8ln + -20lnr = 0 Solving 4 + -8ln + -20lnr = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -8ln + -4 + -20lnr = 0 + -4 Reorder the terms: 4 + -4 + -8ln + -20lnr = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -8ln + -20lnr = 0 + -4 -8ln + -20lnr = 0 + -4 Combine like terms: 0 + -4 = -4 -8ln + -20lnr = -4 Reorder the terms: 4 + -8ln + -20lnr = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -8ln + -20lnr = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1 + -2ln + -5lnr) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -2ln + -5lnr)' equal to zero and attempt to solve: Simplifying 1 + -2ln + -5lnr = 0 Solving 1 + -2ln + -5lnr = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2ln + -1 + -5lnr = 0 + -1 Reorder the terms: 1 + -1 + -2ln + -5lnr = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2ln + -5lnr = 0 + -1 -2ln + -5lnr = 0 + -1 Combine like terms: 0 + -1 = -1 -2ln + -5lnr = -1 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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