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Simplifying 5k2 + 2k = -9 Reorder the terms: 2k + 5k2 = -9 Solving 2k + 5k2 = -9 Solving for variable 'k'. Reorder the terms: 9 + 2k + 5k2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + 2k + 5k2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.8 + 0.4k + k2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + 0.4k + -1.8 + k2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + 0.4k + k2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 0.4k + k2 = 0 + -1.8 0.4k + k2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 0.4k + k2 = -1.8 The k term is 0.4k. Take half its coefficient (0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. 0.4k + 0.04 + k2 = -1.8 + 0.04 Reorder the terms: 0.04 + 0.4k + k2 = -1.8 + 0.04 Combine like terms: -1.8 + 0.04 = -1.76 0.04 + 0.4k + k2 = -1.76 Factor a perfect square on the left side: (k + 0.2)(k + 0.2) = -1.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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