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Simplifying (n + -4)(n + 4) + 16 = -1n Reorder the terms: (-4 + n)(n + 4) + 16 = -1n Reorder the terms: (-4 + n)(4 + n) + 16 = -1n Multiply (-4 + n) * (4 + n) (-4(4 + n) + n(4 + n)) + 16 = -1n ((4 * -4 + n * -4) + n(4 + n)) + 16 = -1n ((-16 + -4n) + n(4 + n)) + 16 = -1n (-16 + -4n + (4 * n + n * n)) + 16 = -1n (-16 + -4n + (4n + n2)) + 16 = -1n Combine like terms: -4n + 4n = 0 (-16 + 0 + n2) + 16 = -1n (-16 + n2) + 16 = -1n Reorder the terms: -16 + 16 + n2 = -1n Combine like terms: -16 + 16 = 0 0 + n2 = -1n n2 = -1n Solving n2 = -1n Solving for variable 'n'. Reorder the terms: n + n2 = -1n + n Combine like terms: -1n + n = 0 n + n2 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(1 + 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 '(1 + n)' equal to zero and attempt to solve: Simplifying 1 + n = 0 Solving 1 + n = 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 + n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + n = 0 + -1 n = 0 + -1 Combine like terms: 0 + -1 = -1 n = -1 Simplifying n = -1Solution
n = {0, -1}
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