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Simplifying 6ln(4x + 4ln(x)) = 0 Multiply ln * x 6ln(4x + 4lnx) = 0 Reorder the terms: 6ln(4lnx + 4x) = 0 (4lnx * 6ln + 4x * 6ln) = 0 Reorder the terms: (24lnx + 24l2n2x) = 0 (24lnx + 24l2n2x) = 0 Solving 24lnx + 24l2n2x = 0 Solving for variable 'l'. Factor out the Greatest Common Factor (GCF), '24lnx'. 24lnx(1 + ln) = 0 Ignore the factor 24.Subproblem 1
Set the factor 'lnx' equal to zero and attempt to solve: Simplifying lnx = 0 Solving lnx = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lnx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + ln)' equal to zero and attempt to solve: Simplifying 1 + ln = 0 Solving 1 + ln = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + ln = 0 + -1 Combine like terms: 1 + -1 = 0 0 + ln = 0 + -1 ln = 0 + -1 Combine like terms: 0 + -1 = -1 ln = -1 Divide each side by 'n'. l = -1n-1 Simplifying l = -1n-1Solution
l = {-1n-1}
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