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Simplifying 2c + 4c2 + 13 = 0 Reorder the terms: 13 + 2c + 4c2 = 0 Solving 13 + 2c + 4c2 = 0 Solving for variable 'c'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 3.25 + 0.5c + c2 = 0 Move the constant term to the right: Add '-3.25' to each side of the equation. 3.25 + 0.5c + -3.25 + c2 = 0 + -3.25 Reorder the terms: 3.25 + -3.25 + 0.5c + c2 = 0 + -3.25 Combine like terms: 3.25 + -3.25 = 0.00 0.00 + 0.5c + c2 = 0 + -3.25 0.5c + c2 = 0 + -3.25 Combine like terms: 0 + -3.25 = -3.25 0.5c + c2 = -3.25 The c term is 0.5c. 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. 0.5c + 0.0625 + c2 = -3.25 + 0.0625 Reorder the terms: 0.0625 + 0.5c + c2 = -3.25 + 0.0625 Combine like terms: -3.25 + 0.0625 = -3.1875 0.0625 + 0.5c + c2 = -3.1875 Factor a perfect square on the left side: (c + 0.25)(c + 0.25) = -3.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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