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Simplifying Ln(x + 1)(x + -1) = 0 Reorder the terms: nL(1 + x)(x + -1) = 0 Reorder the terms: nL(1 + x)(-1 + x) = 0 Multiply (1 + x) * (-1 + x) nL(1(-1 + x) + x(-1 + x)) = 0 nL((-1 * 1 + x * 1) + x(-1 + x)) = 0 nL((-1 + 1x) + x(-1 + x)) = 0 nL(-1 + 1x + (-1 * x + x * x)) = 0 nL(-1 + 1x + (-1x + x2)) = 0 Combine like terms: 1x + -1x = 0 nL(-1 + 0 + x2) = 0 nL(-1 + x2) = 0 (-1 * nL + x2 * nL) = 0 (-1nL + nx2L) = 0 Solving -1nL + nx2L = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'nL'. nL(-1 + x2) = 0 Factor a difference between two squares. nL((1 + x)(-1 + x)) = 0Subproblem 1
Set the factor 'nL' equal to zero and attempt to solve: Simplifying nL = 0 Solving nL = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nL = 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 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Add '-1x' to each side of the equation. x + -1x = 1 + -1x Combine like terms: x + -1x = 0 0 = 1 + -1x Simplifying 0 = 1 + -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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