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Simplifying 0 = 2ln(4 + -2x) 0 = (4 * 2ln + -2x * 2ln) 0 = (8ln + -4lnx) Solving 0 = 8ln + -4lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-8ln' to each side of the equation. 0 + -8ln = 8ln + -8ln + -4lnx Remove the zero: -8ln = 8ln + -8ln + -4lnx Combine like terms: 8ln + -8ln = 0 -8ln = 0 + -4lnx -8ln = -4lnx Add '4lnx' to each side of the equation. -8ln + 4lnx = -4lnx + 4lnx Combine like terms: -4lnx + 4lnx = 0 -8ln + 4lnx = 0 Factor out the Greatest Common Factor (GCF), '4ln'. 4ln(-2 + x) = 0 Ignore the factor 4.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 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Add '-1x' to each side of the equation. x + -1x = 2 + -1x Combine like terms: x + -1x = 0 0 = 2 + -1x Simplifying 0 = 2 + -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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