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Simplifying Ln(x + 2)(x + -2) = 0 Reorder the terms: nL(2 + x)(x + -2) = 0 Reorder the terms: nL(2 + x)(-2 + x) = 0 Multiply (2 + x) * (-2 + x) nL(2(-2 + x) + x(-2 + x)) = 0 nL((-2 * 2 + x * 2) + x(-2 + x)) = 0 nL((-4 + 2x) + x(-2 + x)) = 0 nL(-4 + 2x + (-2 * x + x * x)) = 0 nL(-4 + 2x + (-2x + x2)) = 0 Combine like terms: 2x + -2x = 0 nL(-4 + 0 + x2) = 0 nL(-4 + x2) = 0 (-4 * nL + x2 * nL) = 0 (-4nL + nx2L) = 0 Solving -4nL + 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(-4 + x2) = 0 Factor a difference between two squares. nL((2 + x)(-2 + 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -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 '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Add '-1x' to each side of the equation. x + -1x = 2 + -1x Combine like terms: x + -1x = 0 0 = 2 + -1x Simplifying 0 = 2 + -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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