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Simplifying Inx = -1In(x + 1) Reorder the terms: nxI = -1nI(1 + x) nxI = (1 * -1nI + x * -1nI) nxI = (-1nI + -1nxI) Solving nxI = -1nI + -1nxI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'nI' to each side of the equation. nI + nxI = -1nI + nI + -1nxI Combine like terms: -1nI + nI = 0 nI + nxI = 0 + -1nxI nI + nxI = -1nxI Add 'nxI' to each side of the equation. nI + nxI + nxI = -1nxI + nxI Combine like terms: nxI + nxI = 2nxI nI + 2nxI = -1nxI + nxI Combine like terms: -1nxI + nxI = 0 nI + 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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