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Simplifying 44 = 8 + 4ln(4x + 1) Reorder the terms: 44 = 8 + 4ln(1 + 4x) 44 = 8 + (1 * 4ln + 4x * 4ln) 44 = 8 + (4ln + 16lnx) Solving 44 = 8 + 4ln + 16lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4ln' to each side of the equation. 44 + -4ln = 8 + 4ln + -4ln + 16lnx Combine like terms: 4ln + -4ln = 0 44 + -4ln = 8 + 0 + 16lnx 44 + -4ln = 8 + 16lnx Add '-16lnx' to each side of the equation. 44 + -4ln + -16lnx = 8 + 16lnx + -16lnx Combine like terms: 16lnx + -16lnx = 0 44 + -4ln + -16lnx = 8 + 0 44 + -4ln + -16lnx = 8 Add '-44' to each side of the equation. 44 + -4ln + -44 + -16lnx = 8 + -44 Reorder the terms: 44 + -44 + -4ln + -16lnx = 8 + -44 Combine like terms: 44 + -44 = 0 0 + -4ln + -16lnx = 8 + -44 -4ln + -16lnx = 8 + -44 Combine like terms: 8 + -44 = -36 -4ln + -16lnx = -36 Reorder the terms: 36 + -4ln + -16lnx = -36 + 36 Combine like terms: -36 + 36 = 0 36 + -4ln + -16lnx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(9 + -1ln + -4lnx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(9 + -1ln + -4lnx)' equal to zero and attempt to solve: Simplifying 9 + -1ln + -4lnx = 0 Solving 9 + -1ln + -4lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -1ln + -9 + -4lnx = 0 + -9 Reorder the terms: 9 + -9 + -1ln + -4lnx = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1ln + -4lnx = 0 + -9 -1ln + -4lnx = 0 + -9 Combine like terms: 0 + -9 = -9 -1ln + -4lnx = -9 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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