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Simplifying 2ln(5x + 2) + -12 = 8 Reorder the terms: 2ln(2 + 5x) + -12 = 8 (2 * 2ln + 5x * 2ln) + -12 = 8 (4ln + 10lnx) + -12 = 8 Reorder the terms: -12 + 4ln + 10lnx = 8 Solving -12 + 4ln + 10lnx = 8 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 4ln + 12 + 10lnx = 8 + 12 Reorder the terms: -12 + 12 + 4ln + 10lnx = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 4ln + 10lnx = 8 + 12 4ln + 10lnx = 8 + 12 Combine like terms: 8 + 12 = 20 4ln + 10lnx = 20 Reorder the terms: -20 + 4ln + 10lnx = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 4ln + 10lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + 2ln + 5lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-10 + 2ln + 5lnx)' equal to zero and attempt to solve: Simplifying -10 + 2ln + 5lnx = 0 Solving -10 + 2ln + 5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 2ln + 10 + 5lnx = 0 + 10 Reorder the terms: -10 + 10 + 2ln + 5lnx = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2ln + 5lnx = 0 + 10 2ln + 5lnx = 0 + 10 Combine like terms: 0 + 10 = 10 2ln + 5lnx = 10 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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