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