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