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Simplifying (x + 1) * ln(x + 5) = 0 Reorder the terms: (1 + x) * ln(x + 5) = 0 Reorder the terms: (1 + x) * ln(5 + x) = 0 Reorder the terms for easier multiplication: ln(1 + x)(5 + x) = 0 Multiply (1 + x) * (5 + x) ln(1(5 + x) + x(5 + x)) = 0 ln((5 * 1 + x * 1) + x(5 + x)) = 0 ln((5 + 1x) + x(5 + x)) = 0 ln(5 + 1x + (5 * x + x * x)) = 0 ln(5 + 1x + (5x + x2)) = 0 Combine like terms: 1x + 5x = 6x ln(5 + 6x + x2) = 0 (5 * ln + 6x * ln + x2 * ln) = 0 (5ln + 6lnx + lnx2) = 0 Solving 5ln + 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(5 + 6x + x2) = 0 Factor a trinomial. ln((5 + x)(1 + 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Add '-1x' to each side of the equation. x + -1x = -5 + -1x Combine like terms: x + -1x = 0 0 = -5 + -1x Simplifying 0 = -5 + -1x 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 '(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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