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