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Simplifying 8ln(3x + -7) + 10 = 0 Reorder the terms: 8ln(-7 + 3x) + 10 = 0 (-7 * 8ln + 3x * 8ln) + 10 = 0 (-56ln + 24lnx) + 10 = 0 Reorder the terms: 10 + -56ln + 24lnx = 0 Solving 10 + -56ln + 24lnx = 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 + -56ln + -10 + 24lnx = 0 + -10 Reorder the terms: 10 + -10 + -56ln + 24lnx = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -56ln + 24lnx = 0 + -10 -56ln + 24lnx = 0 + -10 Combine like terms: 0 + -10 = -10 -56ln + 24lnx = -10 Reorder the terms: 10 + -56ln + 24lnx = -10 + 10 Combine like terms: -10 + 10 = 0 10 + -56ln + 24lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -28ln + 12lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -28ln + 12lnx)' equal to zero and attempt to solve: Simplifying 5 + -28ln + 12lnx = 0 Solving 5 + -28ln + 12lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -28ln + -5 + 12lnx = 0 + -5 Reorder the terms: 5 + -5 + -28ln + 12lnx = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -28ln + 12lnx = 0 + -5 -28ln + 12lnx = 0 + -5 Combine like terms: 0 + -5 = -5 -28ln + 12lnx = -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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