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Simplifying 11k2 + 11 = -2k Reorder the terms: 11 + 11k2 = -2k Solving 11 + 11k2 = -2k Solving for variable 'k'. Reorder the terms: 11 + 2k + 11k2 = -2k + 2k Combine like terms: -2k + 2k = 0 11 + 2k + 11k2 = 0 Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 1 + 0.1818181818k + k2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.1818181818k + -1 + k2 = 0 + -1 Reorder the terms: 1 + -1 + 0.1818181818k + k2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.1818181818k + k2 = 0 + -1 0.1818181818k + k2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.1818181818k + k2 = -1 The k term is 0.1818181818k. Take half its coefficient (0.0909090909). Square it (0.008264462808) and add it to both sides. Add '0.008264462808' to each side of the equation. 0.1818181818k + 0.008264462808 + k2 = -1 + 0.008264462808 Reorder the terms: 0.008264462808 + 0.1818181818k + k2 = -1 + 0.008264462808 Combine like terms: -1 + 0.008264462808 = -0.991735537192 0.008264462808 + 0.1818181818k + k2 = -0.991735537192 Factor a perfect square on the left side: (k + 0.0909090909)(k + 0.0909090909) = -0.991735537192 Can't calculate square root of the right side. The solution to this equation could not be determined.
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