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Simplifying 2k(k + 3) = -7 Reorder the terms: 2k(3 + k) = -7 (3 * 2k + k * 2k) = -7 (6k + 2k2) = -7 Solving 6k + 2k2 = -7 Solving for variable 'k'. Reorder the terms: 7 + 6k + 2k2 = -7 + 7 Combine like terms: -7 + 7 = 0 7 + 6k + 2k2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 3.5 + 3k + k2 = 0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + 3k + -3.5 + k2 = 0 + -3.5 Reorder the terms: 3.5 + -3.5 + 3k + k2 = 0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + 3k + k2 = 0 + -3.5 3k + k2 = 0 + -3.5 Combine like terms: 0 + -3.5 = -3.5 3k + k2 = -3.5 The k term is 3k. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3k + 2.25 + k2 = -3.5 + 2.25 Reorder the terms: 2.25 + 3k + k2 = -3.5 + 2.25 Combine like terms: -3.5 + 2.25 = -1.25 2.25 + 3k + k2 = -1.25 Factor a perfect square on the left side: (k + 1.5)(k + 1.5) = -1.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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