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Simplifying X2Lnx + -9Lnx = 0 Reorder the terms: -9nxL + nxLX2 = 0 Solving -9nxL + nxLX2 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'nxL'. nxL(-9 + X2) = 0 Factor a difference between two squares. nxL((3 + X)(-3 + X)) = 0Subproblem 1
Set the factor 'nxL' equal to zero and attempt to solve: Simplifying nxL = 0 Solving nxL = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nxL = 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 '(3 + X)' equal to zero and attempt to solve: Simplifying 3 + X = 0 Solving 3 + X = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + X = 0 + -3 X = 0 + -3 Combine like terms: 0 + -3 = -3 X = -3 Add '-1X' to each side of the equation. X + -1X = -3 + -1X Combine like terms: X + -1X = 0 0 = -3 + -1X Simplifying 0 = -3 + -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 '(-3 + X)' equal to zero and attempt to solve: Simplifying -3 + X = 0 Solving -3 + X = 0 Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + X = 0 + 3 Combine like terms: -3 + 3 = 0 0 + X = 0 + 3 X = 0 + 3 Combine like terms: 0 + 3 = 3 X = 3 Add '-1X' to each side of the equation. X + -1X = 3 + -1X Combine like terms: X + -1X = 0 0 = 3 + -1X Simplifying 0 = 3 + -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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