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Simplifying 10k2 + 5k = -11 Reorder the terms: 5k + 10k2 = -11 Solving 5k + 10k2 = -11 Solving for variable 'k'. Reorder the terms: 11 + 5k + 10k2 = -11 + 11 Combine like terms: -11 + 11 = 0 11 + 5k + 10k2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 1.1 + 0.5k + k2 = 0 Move the constant term to the right: Add '-1.1' to each side of the equation. 1.1 + 0.5k + -1.1 + k2 = 0 + -1.1 Reorder the terms: 1.1 + -1.1 + 0.5k + k2 = 0 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + 0.5k + k2 = 0 + -1.1 0.5k + k2 = 0 + -1.1 Combine like terms: 0 + -1.1 = -1.1 0.5k + k2 = -1.1 The k term is 0.5k. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5k + 0.0625 + k2 = -1.1 + 0.0625 Reorder the terms: 0.0625 + 0.5k + k2 = -1.1 + 0.0625 Combine like terms: -1.1 + 0.0625 = -1.0375 0.0625 + 0.5k + k2 = -1.0375 Factor a perfect square on the left side: (k + 0.25)(k + 0.25) = -1.0375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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