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Simplifying (k + -4)(k + 4) = 0 Reorder the terms: (-4 + k)(k + 4) = 0 Reorder the terms: (-4 + k)(4 + k) = 0 Multiply (-4 + k) * (4 + k) (-4(4 + k) + k(4 + k)) = 0 ((4 * -4 + k * -4) + k(4 + k)) = 0 ((-16 + -4k) + k(4 + k)) = 0 (-16 + -4k + (4 * k + k * k)) = 0 (-16 + -4k + (4k + k2)) = 0 Combine like terms: -4k + 4k = 0 (-16 + 0 + k2) = 0 (-16 + k2) = 0 Solving -16 + k2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + k2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + k2 = 0 + 16 k2 = 0 + 16 Combine like terms: 0 + 16 = 16 k2 = 16 Simplifying k2 = 16 Take the square root of each side: k = {-4, 4}
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