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Simplifying 3ln(x)(2 + -1ln(x)) = 0 Multiply ln * x 3ln * x(2 + -1lnx) = 0 Multiply ln * x 3lnx(2 + -1lnx) = 0 (2 * 3lnx + -1lnx * 3lnx) = 0 (6lnx + -3l2n2x2) = 0 Solving 6lnx + -3l2n2x2 = 0 Solving for variable 'l'. Factor out the Greatest Common Factor (GCF), '3lnx'. 3lnx(2 + -1lnx) = 0 Ignore the factor 3.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 '(2 + -1lnx)' equal to zero and attempt to solve: Simplifying 2 + -1lnx = 0 Solving 2 + -1lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1lnx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1lnx = 0 + -2 -1lnx = 0 + -2 Combine like terms: 0 + -2 = -2 -1lnx = -2 Divide each side by '-1nx'. l = 2n-1x-1 Simplifying l = 2n-1x-1Solution
l = {2n-1x-1}
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