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Simplifying In(x + -1) + In(x + -2) = In(7) Reorder the terms: nI(-1 + x) + In(x + -2) = In(7) (-1 * nI + x * nI) + In(x + -2) = In(7) (-1nI + nxI) + In(x + -2) = In(7) Reorder the terms: -1nI + nxI + nI(-2 + x) = In(7) -1nI + nxI + (-2 * nI + x * nI) = In(7) -1nI + nxI + (-2nI + nxI) = In(7) Reorder the terms: -1nI + -2nI + nxI + nxI = In(7) Combine like terms: -1nI + -2nI = -3nI -3nI + nxI + nxI = In(7) Combine like terms: nxI + nxI = 2nxI -3nI + 2nxI = In(7) Reorder the terms for easier multiplication: -3nI + 2nxI = 7nI Solving -3nI + 2nxI = 7nI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7nI' to each side of the equation. -3nI + -7nI + 2nxI = 7nI + -7nI Combine like terms: -3nI + -7nI = -10nI -10nI + 2nxI = 7nI + -7nI Combine like terms: 7nI + -7nI = 0 -10nI + 2nxI = 0 Factor out the Greatest Common Factor (GCF), '2nI'. 2nI(-5 + x) = 0 Ignore the factor 2.Subproblem 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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