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Simplifying (X + -6) * lnx = 0 Reorder the terms: (-6 + X) * lnx = 0 Reorder the terms for easier multiplication: lnx(-6 + X) = 0 (-6 * lnx + X * lnx) = 0 (-6lnx + lnxX) = 0 Solving -6lnx + lnxX = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'lnx'. lnx(-6 + X) = 0Subproblem 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 '(-6 + X)' equal to zero and attempt to solve: Simplifying -6 + X = 0 Solving -6 + X = 0 Move all terms containing l to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + X = 0 + 6 Combine like terms: -6 + 6 = 0 0 + X = 0 + 6 X = 0 + 6 Combine like terms: 0 + 6 = 6 X = 6 Add '-1X' to each side of the equation. X + -1X = 6 + -1X Combine like terms: X + -1X = 0 0 = 6 + -1X Simplifying 0 = 6 + -1X 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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