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Simplifying 5k2 + 4k + 10 = 0 Reorder the terms: 10 + 4k + 5k2 = 0 Solving 10 + 4k + 5k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2 + 0.8k + k2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 0.8k + -2 + k2 = 0 + -2 Reorder the terms: 2 + -2 + 0.8k + k2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 0.8k + k2 = 0 + -2 0.8k + k2 = 0 + -2 Combine like terms: 0 + -2 = -2 0.8k + k2 = -2 The k term is 0.8k. Take half its coefficient (0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. 0.8k + 0.16 + k2 = -2 + 0.16 Reorder the terms: 0.16 + 0.8k + k2 = -2 + 0.16 Combine like terms: -2 + 0.16 = -1.84 0.16 + 0.8k + k2 = -1.84 Factor a perfect square on the left side: (k + 0.4)(k + 0.4) = -1.84 Can't calculate square root of the right side. The solution to this equation could not be determined.
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