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Simplifying In(x + -5) = In(x + -1) + -1In(x + 1) Reorder the terms: nI(-5 + x) = In(x + -1) + -1In(x + 1) (-5 * nI + x * nI) = In(x + -1) + -1In(x + 1) (-5nI + nxI) = In(x + -1) + -1In(x + 1) Reorder the terms: -5nI + nxI = nI(-1 + x) + -1In(x + 1) -5nI + nxI = (-1 * nI + x * nI) + -1In(x + 1) -5nI + nxI = (-1nI + nxI) + -1In(x + 1) Reorder the terms: -5nI + nxI = -1nI + nxI + -1nI(1 + x) -5nI + nxI = -1nI + nxI + (1 * -1nI + x * -1nI) -5nI + nxI = -1nI + nxI + (-1nI + -1nxI) Reorder the terms: -5nI + nxI = -1nI + -1nI + nxI + -1nxI Combine like terms: -1nI + -1nI = -2nI -5nI + nxI = -2nI + nxI + -1nxI Combine like terms: nxI + -1nxI = 0 -5nI + nxI = -2nI + 0 -5nI + nxI = -2nI Solving -5nI + nxI = -2nI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2nI' to each side of the equation. -5nI + 2nI + nxI = -2nI + 2nI Combine like terms: -5nI + 2nI = -3nI -3nI + nxI = -2nI + 2nI Combine like terms: -2nI + 2nI = 0 -3nI + nxI = 0 Factor out the Greatest Common Factor (GCF), 'nI'. nI(-3 + x) = 0Subproblem 1
Set the factor 'nI' equal to zero and attempt to solve: Simplifying nI = 0 Solving nI = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nI = 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 '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Add '-1x' to each side of the equation. x + -1x = 3 + -1x Combine like terms: x + -1x = 0 0 = 3 + -1x Simplifying 0 = 3 + -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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