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Simplifying X4 * lnx + -1lnx = 0 Multiply X4 * lnx lnxX4 + -1lnx = 0 Reorder the terms: -1lnx + lnxX4 = 0 Solving -1lnx + lnxX4 = 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(-1 + X4) = 0 Factor a difference between two squares. lnx((1 + X2)(-1 + X2)) = 0 Factor a difference between two squares. lnx((1 + X2)((1 + X)(-1 + 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 '(1 + X2)' equal to zero and attempt to solve: Simplifying 1 + X2 = 0 Solving 1 + X2 = 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 + X2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X2 = 0 + -1 X2 = 0 + -1 Combine like terms: 0 + -1 = -1 X2 = -1 Add '-1X2' to each side of the equation. X2 + -1X2 = -1 + -1X2 Combine like terms: X2 + -1X2 = 0 0 = -1 + -1X2 Simplifying 0 = -1 + -1X2 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 '(1 + X)' equal to zero and attempt to solve: Simplifying 1 + X = 0 Solving 1 + X = 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 + X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X = 0 + -1 X = 0 + -1 Combine like terms: 0 + -1 = -1 X = -1 Add '-1X' to each side of the equation. X + -1X = -1 + -1X Combine like terms: X + -1X = 0 0 = -1 + -1X Simplifying 0 = -1 + -1X The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 4
Set the factor '(-1 + X)' equal to zero and attempt to solve: Simplifying -1 + X = 0 Solving -1 + X = 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 + X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + X = 0 + 1 X = 0 + 1 Combine like terms: 0 + 1 = 1 X = 1 Add '-1X' to each side of the equation. X + -1X = 1 + -1X Combine like terms: X + -1X = 0 0 = 1 + -1X Simplifying 0 = 1 + -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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