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Simplifying In(x) + In(x + -1) = In(2) + In(3) Multiply nI * x nxI + In(x + -1) = In(2) + In(3) Reorder the terms: nxI + nI(-1 + x) = In(2) + In(3) nxI + (-1 * nI + x * nI) = In(2) + In(3) nxI + (-1nI + nxI) = In(2) + In(3) Reorder the terms: -1nI + nxI + nxI = In(2) + In(3) Combine like terms: nxI + nxI = 2nxI -1nI + 2nxI = In(2) + In(3) Reorder the terms for easier multiplication: -1nI + 2nxI = 2nI + In(3) Reorder the terms for easier multiplication: -1nI + 2nxI = 2nI + 3nI Combine like terms: 2nI + 3nI = 5nI -1nI + 2nxI = 5nI Solving -1nI + 2nxI = 5nI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5nI' to each side of the equation. -1nI + -5nI + 2nxI = 5nI + -5nI Combine like terms: -1nI + -5nI = -6nI -6nI + 2nxI = 5nI + -5nI Combine like terms: 5nI + -5nI = 0 -6nI + 2nxI = 0 Factor out the Greatest Common Factor (GCF), '2nI'. 2nI(-3 + 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 '(-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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