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Simplifying 4c2 + 5c + 9 = 0 Reorder the terms: 9 + 5c + 4c2 = 0 Solving 9 + 5c + 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'. 2.25 + 1.25c + c2 = 0 Move the constant term to the right: Add '-2.25' to each side of the equation. 2.25 + 1.25c + -2.25 + c2 = 0 + -2.25 Reorder the terms: 2.25 + -2.25 + 1.25c + c2 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + 1.25c + c2 = 0 + -2.25 1.25c + c2 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 1.25c + c2 = -2.25 The c term is 1.25c. Take half its coefficient (0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. 1.25c + 0.390625 + c2 = -2.25 + 0.390625 Reorder the terms: 0.390625 + 1.25c + c2 = -2.25 + 0.390625 Combine like terms: -2.25 + 0.390625 = -1.859375 0.390625 + 1.25c + c2 = -1.859375 Factor a perfect square on the left side: (c + 0.625)(c + 0.625) = -1.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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