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Simplifying (k + 8)(k + -8) = 0 Reorder the terms: (8 + k)(k + -8) = 0 Reorder the terms: (8 + k)(-8 + k) = 0 Multiply (8 + k) * (-8 + k) (8(-8 + k) + k(-8 + k)) = 0 ((-8 * 8 + k * 8) + k(-8 + k)) = 0 ((-64 + 8k) + k(-8 + k)) = 0 (-64 + 8k + (-8 * k + k * k)) = 0 (-64 + 8k + (-8k + k2)) = 0 Combine like terms: 8k + -8k = 0 (-64 + 0 + k2) = 0 (-64 + k2) = 0 Solving -64 + k2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + k2 = 0 + 64 Combine like terms: -64 + 64 = 0 0 + k2 = 0 + 64 k2 = 0 + 64 Combine like terms: 0 + 64 = 64 k2 = 64 Simplifying k2 = 64 Take the square root of each side: k = {-8, 8}
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