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Simplifying Ln(x + -1)(x + 2) = 0 Reorder the terms: nL(-1 + x)(x + 2) = 0 Reorder the terms: nL(-1 + x)(2 + x) = 0 Multiply (-1 + x) * (2 + x) nL(-1(2 + x) + x(2 + x)) = 0 nL((2 * -1 + x * -1) + x(2 + x)) = 0 nL((-2 + -1x) + x(2 + x)) = 0 nL(-2 + -1x + (2 * x + x * x)) = 0 nL(-2 + -1x + (2x + x2)) = 0 Combine like terms: -1x + 2x = 1x nL(-2 + 1x + x2) = 0 (-2 * nL + 1x * nL + x2 * nL) = 0 (-2nL + 1nxL + nx2L) = 0 Solving -2nL + 1nxL + 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(-2 + x + x2) = 0 Factor a trinomial. nL((-2 + -1x)(1 + -1x)) = 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 '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Add 'x' to each side of the equation. -1x + x = 2 + x Combine like terms: -1x + x = 0 0 = 2 + x Simplifying 0 = 2 + x 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 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Add 'x' to each side of the equation. -1x + x = -1 + x Combine like terms: -1x + x = 0 0 = -1 + x Simplifying 0 = -1 + x 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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