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Simplifying (lnx + -2) * lnx = -1 Reorder the terms: (-2 + lnx) * lnx = -1 Reorder the terms for easier multiplication: lnx(-2 + lnx) = -1 (-2 * lnx + lnx * lnx) = -1 (-2lnx + l2n2x2) = -1 Solving -2lnx + l2n2x2 = -1 Solving for variable 'l'. Reorder the terms: 1 + -2lnx + l2n2x2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -2lnx + l2n2x2 = 0 Factor a trinomial. (1 + -1lnx)(1 + -1lnx) = 0Subproblem 1
Set the factor '(1 + -1lnx)' equal to zero and attempt to solve: Simplifying 1 + -1lnx = 0 Solving 1 + -1lnx = 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 + -1lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1lnx = 0 + -1 -1lnx = 0 + -1 Combine like terms: 0 + -1 = -1 -1lnx = -1 Divide each side by '-1nx'. l = n-1x-1 Simplifying l = n-1x-1Subproblem 2
Set the factor '(1 + -1lnx)' equal to zero and attempt to solve: Simplifying 1 + -1lnx = 0 Solving 1 + -1lnx = 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 + -1lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1lnx = 0 + -1 -1lnx = 0 + -1 Combine like terms: 0 + -1 = -1 -1lnx = -1 Divide each side by '-1nx'. l = n-1x-1 Simplifying l = n-1x-1Solution
l = {n-1x-1, n-1x-1}
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