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Simplifying X2lnx + -4lnx = 0 Reorder the terms: -4lnx + lnxX2 = 0 Solving -4lnx + lnxX2 = 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(-4 + X2) = 0 Factor a difference between two squares. lnx((2 + X)(-2 + 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 '(2 + X)' equal to zero and attempt to solve: Simplifying 2 + X = 0 Solving 2 + X = 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 + X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + X = 0 + -2 X = 0 + -2 Combine like terms: 0 + -2 = -2 X = -2 Add '-1X' to each side of the equation. X + -1X = -2 + -1X Combine like terms: X + -1X = 0 0 = -2 + -1X Simplifying 0 = -2 + -1X The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-2 + X)' equal to zero and attempt to solve: Simplifying -2 + X = 0 Solving -2 + X = 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 + X = 0 + 2 Combine like terms: -2 + 2 = 0 0 + X = 0 + 2 X = 0 + 2 Combine like terms: 0 + 2 = 2 X = 2 Add '-1X' to each side of the equation. X + -1X = 2 + -1X Combine like terms: X + -1X = 0 0 = 2 + -1X Simplifying 0 = 2 + -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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