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Simplifying 5(ln)(4x + 6) = 28 Reorder the terms: 5ln(6 + 4x) = 28 (6 * 5ln + 4x * 5ln) = 28 (30ln + 20lnx) = 28 Solving 30ln + 20lnx = 28 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -28 + 30ln + 20lnx = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + 30ln + 20lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-14 + 15ln + 10lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-14 + 15ln + 10lnx)' equal to zero and attempt to solve: Simplifying -14 + 15ln + 10lnx = 0 Solving -14 + 15ln + 10lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 15ln + 14 + 10lnx = 0 + 14 Reorder the terms: -14 + 14 + 15ln + 10lnx = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 15ln + 10lnx = 0 + 14 15ln + 10lnx = 0 + 14 Combine like terms: 0 + 14 = 14 15ln + 10lnx = 14 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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