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Simplifying 5ln(7x + -4) + 9 = 4 Reorder the terms: 5ln(-4 + 7x) + 9 = 4 (-4 * 5ln + 7x * 5ln) + 9 = 4 (-20ln + 35lnx) + 9 = 4 Reorder the terms: 9 + -20ln + 35lnx = 4 Solving 9 + -20ln + 35lnx = 4 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -20ln + -9 + 35lnx = 4 + -9 Reorder the terms: 9 + -9 + -20ln + 35lnx = 4 + -9 Combine like terms: 9 + -9 = 0 0 + -20ln + 35lnx = 4 + -9 -20ln + 35lnx = 4 + -9 Combine like terms: 4 + -9 = -5 -20ln + 35lnx = -5 Reorder the terms: 5 + -20ln + 35lnx = -5 + 5 Combine like terms: -5 + 5 = 0 5 + -20ln + 35lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(1 + -4ln + 7lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + -4ln + 7lnx)' equal to zero and attempt to solve: Simplifying 1 + -4ln + 7lnx = 0 Solving 1 + -4ln + 7lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -4ln + -1 + 7lnx = 0 + -1 Reorder the terms: 1 + -1 + -4ln + 7lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4ln + 7lnx = 0 + -1 -4ln + 7lnx = 0 + -1 Combine like terms: 0 + -1 = -1 -4ln + 7lnx = -1 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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