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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 = -5nI -5nI + nxI + nxI = In(x + -8) Combine like terms: nxI + nxI = 2nxI -5nI + 2nxI = In(x + -8) Reorder the terms: -5nI + 2nxI = nI(-8 + x) -5nI + 2nxI = (-8 * nI + x * nI) -5nI + 2nxI = (-8nI + nxI) Solving -5nI + 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. -5nI + 8nI + 2nxI = -8nI + 8nI + nxI Combine like terms: -5nI + 8nI = 3nI 3nI + 2nxI = -8nI + 8nI + nxI Combine like terms: -8nI + 8nI = 0 3nI + 2nxI = 0 + nxI 3nI + 2nxI = nxI Add '-1nxI' to each side of the equation. 3nI + 2nxI + -1nxI = nxI + -1nxI Combine like terms: 2nxI + -1nxI = 1nxI 3nI + 1nxI = nxI + -1nxI Combine like terms: nxI + -1nxI = 0 3nI + 1nxI = 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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