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Simplifying 16 = 25ln(22x + 2) Reorder the terms: 16 = 25ln(2 + 22x) 16 = (2 * 25ln + 22x * 25ln) 16 = (50ln + 550lnx) Solving 16 = 50ln + 550lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-50ln' to each side of the equation. 16 + -50ln = 50ln + -50ln + 550lnx Combine like terms: 50ln + -50ln = 0 16 + -50ln = 0 + 550lnx 16 + -50ln = 550lnx Add '-550lnx' to each side of the equation. 16 + -50ln + -550lnx = 550lnx + -550lnx Combine like terms: 550lnx + -550lnx = 0 16 + -50ln + -550lnx = 0 Add '-16' to each side of the equation. 16 + -50ln + -16 + -550lnx = 0 + -16 Reorder the terms: 16 + -16 + -50ln + -550lnx = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -50ln + -550lnx = 0 + -16 -50ln + -550lnx = 0 + -16 Combine like terms: 0 + -16 = -16 -50ln + -550lnx = -16 Reorder the terms: 16 + -50ln + -550lnx = -16 + 16 Combine like terms: -16 + 16 = 0 16 + -50ln + -550lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -25ln + -275lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + -25ln + -275lnx)' equal to zero and attempt to solve: Simplifying 8 + -25ln + -275lnx = 0 Solving 8 + -25ln + -275lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -25ln + -8 + -275lnx = 0 + -8 Reorder the terms: 8 + -8 + -25ln + -275lnx = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -25ln + -275lnx = 0 + -8 -25ln + -275lnx = 0 + -8 Combine like terms: 0 + -8 = -8 -25ln + -275lnx = -8 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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