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Simplifying 9k2 + -27k + 28 = 0 Reorder the terms: 28 + -27k + 9k2 = 0 Solving 28 + -27k + 9k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 3.111111111 + -3k + k2 = 0 Move the constant term to the right: Add '-3.111111111' to each side of the equation. 3.111111111 + -3k + -3.111111111 + k2 = 0 + -3.111111111 Reorder the terms: 3.111111111 + -3.111111111 + -3k + k2 = 0 + -3.111111111 Combine like terms: 3.111111111 + -3.111111111 = 0.000000000 0.000000000 + -3k + k2 = 0 + -3.111111111 -3k + k2 = 0 + -3.111111111 Combine like terms: 0 + -3.111111111 = -3.111111111 -3k + k2 = -3.111111111 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 = -3.111111111 + 2.25 Reorder the terms: 2.25 + -3k + k2 = -3.111111111 + 2.25 Combine like terms: -3.111111111 + 2.25 = -0.861111111 2.25 + -3k + k2 = -0.861111111 Factor a perfect square on the left side: (k + -1.5)(k + -1.5) = -0.861111111 Can't calculate square root of the right side. The solution to this equation could not be determined.
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