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Simplifying 0 = ln(2X + -4) Reorder the terms: 0 = ln(-4 + 2X) 0 = (-4 * ln + 2X * ln) 0 = (-4ln + 2lnX) Solving 0 = -4ln + 2lnX Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '4ln' to each side of the equation. 0 + 4ln = -4ln + 4ln + 2lnX Remove the zero: 4ln = -4ln + 4ln + 2lnX Combine like terms: -4ln + 4ln = 0 4ln = 0 + 2lnX 4ln = 2lnX Add '-2lnX' to each side of the equation. 4ln + -2lnX = 2lnX + -2lnX Combine like terms: 2lnX + -2lnX = 0 4ln + -2lnX = 0 Factor out the Greatest Common Factor (GCF), '2ln'. 2ln(2 + -1X) = 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 '(2 + -1X)' equal to zero and attempt to solve: Simplifying 2 + -1X = 0 Solving 2 + -1X = 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 + -1X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1X = 0 + -2 -1X = 0 + -2 Combine like terms: 0 + -2 = -2 -1X = -2 Add 'X' to each side of the equation. -1X + X = -2 + X Combine like terms: -1X + X = 0 0 = -2 + X Simplifying 0 = -2 + X 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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