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