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Simplifying ln(X + 3) + ln(X + -1) = 0 Reorder the terms: ln(3 + X) + ln(X + -1) = 0 (3 * ln + X * ln) + ln(X + -1) = 0 (3ln + lnX) + ln(X + -1) = 0 Reorder the terms: 3ln + lnX + ln(-1 + X) = 0 3ln + lnX + (-1 * ln + X * ln) = 0 3ln + lnX + (-1ln + lnX) = 0 Reorder the terms: 3ln + -1ln + lnX + lnX = 0 Combine like terms: 3ln + -1ln = 2ln 2ln + lnX + lnX = 0 Combine like terms: lnX + lnX = 2lnX 2ln + 2lnX = 0 Solving 2ln + 2lnX = 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), '2ln'. 2ln(1 + X) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 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 + 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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