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Simplifying In(x + -4) + In(x + 1) = In(x + -8) Reorder the terms: nI(-4 + x) + In(x + 1) = In(x + -8) (-4 * nI + x * nI) + In(x + 1) = In(x + -8) (-4nI + nxI) + In(x + 1) = In(x + -8) Reorder the terms: -4nI + nxI + nI(1 + x) = In(x + -8) -4nI + nxI + (1 * nI + x * nI) = In(x + -8) -4nI + nxI + (1nI + nxI) = In(x + -8) Reorder the terms: -4nI + 1nI + nxI + nxI = In(x + -8) Combine like terms: -4nI + 1nI = -3nI -3nI + nxI + nxI = In(x + -8) Combine like terms: nxI + nxI = 2nxI -3nI + 2nxI = In(x + -8) Reorder the terms: -3nI + 2nxI = nI(-8 + x) -3nI + 2nxI = (-8 * nI + x * nI) -3nI + 2nxI = (-8nI + nxI) Solving -3nI + 2nxI = -8nI + nxI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8nI' to each side of the equation. -3nI + 8nI + 2nxI = -8nI + 8nI + nxI Combine like terms: -3nI + 8nI = 5nI 5nI + 2nxI = -8nI + 8nI + nxI Combine like terms: -8nI + 8nI = 0 5nI + 2nxI = 0 + nxI 5nI + 2nxI = nxI Add '-1nxI' to each side of the equation. 5nI + 2nxI + -1nxI = nxI + -1nxI Combine like terms: 2nxI + -1nxI = 1nxI 5nI + 1nxI = nxI + -1nxI Combine like terms: nxI + -1nxI = 0 5nI + 1nxI = 0 Factor out the Greatest Common Factor (GCF), 'nI'. nI(5 + 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing n 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. The solution to this equation could not be determined.
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