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Simplifying 10k2 + -1k + 5 = 0 Reorder the terms: 5 + -1k + 10k2 = 0 Solving 5 + -1k + 10k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.5 + -0.1k + k2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.1k + -0.5 + k2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.1k + k2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.1k + k2 = 0 + -0.5 -0.1k + k2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -0.1k + k2 = -0.5 The k term is -0.1k. Take half its coefficient (-0.05). Square it (0.0025) and add it to both sides. Add '0.0025' to each side of the equation. -0.1k + 0.0025 + k2 = -0.5 + 0.0025 Reorder the terms: 0.0025 + -0.1k + k2 = -0.5 + 0.0025 Combine like terms: -0.5 + 0.0025 = -0.4975 0.0025 + -0.1k + k2 = -0.4975 Factor a perfect square on the left side: (k + -0.05)(k + -0.05) = -0.4975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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