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Simplifying 2c2 + 11c + 35 = 0 Reorder the terms: 35 + 11c + 2c2 = 0 Solving 35 + 11c + 2c2 = 0 Solving for variable 'c'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 17.5 + 5.5c + c2 = 0 Move the constant term to the right: Add '-17.5' to each side of the equation. 17.5 + 5.5c + -17.5 + c2 = 0 + -17.5 Reorder the terms: 17.5 + -17.5 + 5.5c + c2 = 0 + -17.5 Combine like terms: 17.5 + -17.5 = 0.0 0.0 + 5.5c + c2 = 0 + -17.5 5.5c + c2 = 0 + -17.5 Combine like terms: 0 + -17.5 = -17.5 5.5c + c2 = -17.5 The c term is 5.5c. Take half its coefficient (2.75). Square it (7.5625) and add it to both sides. Add '7.5625' to each side of the equation. 5.5c + 7.5625 + c2 = -17.5 + 7.5625 Reorder the terms: 7.5625 + 5.5c + c2 = -17.5 + 7.5625 Combine like terms: -17.5 + 7.5625 = -9.9375 7.5625 + 5.5c + c2 = -9.9375 Factor a perfect square on the left side: (c + 2.75)(c + 2.75) = -9.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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