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Simplifying In(x + 2) + -1In(x + -5) = In(x + -9) Reorder the terms: nI(2 + x) + -1In(x + -5) = In(x + -9) (2 * nI + x * nI) + -1In(x + -5) = In(x + -9) (2nI + nxI) + -1In(x + -5) = In(x + -9) Reorder the terms: 2nI + nxI + -1nI(-5 + x) = In(x + -9) 2nI + nxI + (-5 * -1nI + x * -1nI) = In(x + -9) 2nI + nxI + (5nI + -1nxI) = In(x + -9) Reorder the terms: 2nI + 5nI + nxI + -1nxI = In(x + -9) Combine like terms: 2nI + 5nI = 7nI 7nI + nxI + -1nxI = In(x + -9) Combine like terms: nxI + -1nxI = 0 7nI + 0 = In(x + -9) 7nI = In(x + -9) Reorder the terms: 7nI = nI(-9 + x) 7nI = (-9 * nI + x * nI) 7nI = (-9nI + nxI) Solving 7nI = -9nI + nxI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9nI' to each side of the equation. 7nI + 9nI = -9nI + 9nI + nxI Combine like terms: 7nI + 9nI = 16nI 16nI = -9nI + 9nI + nxI Combine like terms: -9nI + 9nI = 0 16nI = 0 + nxI 16nI = nxI Add '-1nxI' to each side of the equation. 16nI + -1nxI = nxI + -1nxI Combine like terms: nxI + -1nxI = 0 16nI + -1nxI = 0 Factor out the Greatest Common Factor (GCF), 'nI'. nI(16 + -1x) = 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 '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Add 'x' to each side of the equation. -1x + x = -16 + x Combine like terms: -1x + x = 0 0 = -16 + x Simplifying 0 = -16 + 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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