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Simplifying k(k + 7) = -28 Reorder the terms: k(7 + k) = -28 (7 * k + k * k) = -28 (7k + k2) = -28 Solving 7k + k2 = -28 Solving for variable 'k'. Reorder the terms: 28 + 7k + k2 = -28 + 28 Combine like terms: -28 + 28 = 0 28 + 7k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + 7k + -28 + k2 = 0 + -28 Reorder the terms: 28 + -28 + 7k + k2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 7k + k2 = 0 + -28 7k + k2 = 0 + -28 Combine like terms: 0 + -28 = -28 7k + k2 = -28 The k term is 7k. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7k + 12.25 + k2 = -28 + 12.25 Reorder the terms: 12.25 + 7k + k2 = -28 + 12.25 Combine like terms: -28 + 12.25 = -15.75 12.25 + 7k + k2 = -15.75 Factor a perfect square on the left side: (k + 3.5)(k + 3.5) = -15.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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