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Simplifying 2c2 + -7c + 19 = 1 Reorder the terms: 19 + -7c + 2c2 = 1 Solving 19 + -7c + 2c2 = 1 Solving for variable 'c'. Reorder the terms: 19 + -1 + -7c + 2c2 = 1 + -1 Combine like terms: 19 + -1 = 18 18 + -7c + 2c2 = 1 + -1 Combine like terms: 1 + -1 = 0 18 + -7c + 2c2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 9 + -3.5c + c2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + -3.5c + -9 + c2 = 0 + -9 Reorder the terms: 9 + -9 + -3.5c + c2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -3.5c + c2 = 0 + -9 -3.5c + c2 = 0 + -9 Combine like terms: 0 + -9 = -9 -3.5c + c2 = -9 The c term is -3.5c. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5c + 3.0625 + c2 = -9 + 3.0625 Reorder the terms: 3.0625 + -3.5c + c2 = -9 + 3.0625 Combine like terms: -9 + 3.0625 = -5.9375 3.0625 + -3.5c + c2 = -5.9375 Factor a perfect square on the left side: (c + -1.75)(c + -1.75) = -5.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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