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Simplifying (k + 4)(k + 7) = k2 + 28 Reorder the terms: (4 + k)(k + 7) = k2 + 28 Reorder the terms: (4 + k)(7 + k) = k2 + 28 Multiply (4 + k) * (7 + k) (4(7 + k) + k(7 + k)) = k2 + 28 ((7 * 4 + k * 4) + k(7 + k)) = k2 + 28 ((28 + 4k) + k(7 + k)) = k2 + 28 (28 + 4k + (7 * k + k * k)) = k2 + 28 (28 + 4k + (7k + k2)) = k2 + 28 Combine like terms: 4k + 7k = 11k (28 + 11k + k2) = k2 + 28 Reorder the terms: 28 + 11k + k2 = 28 + k2 Add '-28' to each side of the equation. 28 + 11k + -28 + k2 = 28 + -28 + k2 Reorder the terms: 28 + -28 + 11k + k2 = 28 + -28 + k2 Combine like terms: 28 + -28 = 0 0 + 11k + k2 = 28 + -28 + k2 11k + k2 = 28 + -28 + k2 Combine like terms: 28 + -28 = 0 11k + k2 = 0 + k2 11k + k2 = k2 Add '-1k2' to each side of the equation. 11k + k2 + -1k2 = k2 + -1k2 Combine like terms: k2 + -1k2 = 0 11k + 0 = k2 + -1k2 11k = k2 + -1k2 Combine like terms: k2 + -1k2 = 0 11k = 0 Solving 11k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '11'. k = 0 Simplifying k = 0
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