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Simplifying ln(x + -8)(x + 2) = 0 Reorder the terms: ln(-8 + x)(x + 2) = 0 Reorder the terms: ln(-8 + x)(2 + x) = 0 Multiply (-8 + x) * (2 + x) ln(-8(2 + x) + x(2 + x)) = 0 ln((2 * -8 + x * -8) + x(2 + x)) = 0 ln((-16 + -8x) + x(2 + x)) = 0 ln(-16 + -8x + (2 * x + x * x)) = 0 ln(-16 + -8x + (2x + x2)) = 0 Combine like terms: -8x + 2x = -6x ln(-16 + -6x + x2) = 0 (-16 * ln + -6x * ln + x2 * ln) = 0 (-16ln + -6lnx + lnx2) = 0 Solving -16ln + -6lnx + lnx2 = 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), 'ln'. ln(-16 + -6x + x2) = 0 Factor a trinomial. ln((-2 + -1x)(8 + -1x)) = 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 '(-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.Subproblem 3
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Add 'x' to each side of the equation. -1x + x = -8 + x Combine like terms: -1x + x = 0 0 = -8 + x Simplifying 0 = -8 + 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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