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Simplifying 9k2 + 8 = -9k Reorder the terms: 8 + 9k2 = -9k Solving 8 + 9k2 = -9k Solving for variable 'k'. Reorder the terms: 8 + 9k + 9k2 = -9k + 9k Combine like terms: -9k + 9k = 0 8 + 9k + 9k2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.8888888889 + k + k2 = 0 Move the constant term to the right: Add '-0.8888888889' to each side of the equation. 0.8888888889 + k + -0.8888888889 + k2 = 0 + -0.8888888889 Reorder the terms: 0.8888888889 + -0.8888888889 + k + k2 = 0 + -0.8888888889 Combine like terms: 0.8888888889 + -0.8888888889 = 0.0000000000 0.0000000000 + k + k2 = 0 + -0.8888888889 k + k2 = 0 + -0.8888888889 Combine like terms: 0 + -0.8888888889 = -0.8888888889 k + k2 = -0.8888888889 The k term is k. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + k2 = -0.8888888889 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + k2 = -0.8888888889 + 0.25 Combine like terms: -0.8888888889 + 0.25 = -0.6388888889 1.25 + k2 = -0.6388888889 Factor a perfect square on the left side: (k + 0.5)(k + 0.5) = -0.6388888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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