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Simplifying (n + 4)(n + -2) = -8 Reorder the terms: (4 + n)(n + -2) = -8 Reorder the terms: (4 + n)(-2 + n) = -8 Multiply (4 + n) * (-2 + n) (4(-2 + n) + n(-2 + n)) = -8 ((-2 * 4 + n * 4) + n(-2 + n)) = -8 ((-8 + 4n) + n(-2 + n)) = -8 (-8 + 4n + (-2 * n + n * n)) = -8 (-8 + 4n + (-2n + n2)) = -8 Combine like terms: 4n + -2n = 2n (-8 + 2n + n2) = -8 Add '8' to each side of the equation. -8 + 2n + 8 + n2 = -8 + 8 Reorder the terms: -8 + 8 + 2n + n2 = -8 + 8 Combine like terms: -8 + 8 = 0 0 + 2n + n2 = -8 + 8 2n + n2 = -8 + 8 Combine like terms: -8 + 8 = 0 2n + n2 = 0 Solving 2n + n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(2 + n) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(2 + n)' equal to zero and attempt to solve: Simplifying 2 + n = 0 Solving 2 + n = 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 + n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + n = 0 + -2 n = 0 + -2 Combine like terms: 0 + -2 = -2 n = -2 Simplifying n = -2Solution
n = {0, -2}
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