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Simplifying 16c2 + 20c + 25 = 0 Reorder the terms: 25 + 20c + 16c2 = 0 Solving 25 + 20c + 16c2 = 0 Solving for variable 'c'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 1.5625 + 1.25c + c2 = 0 Move the constant term to the right: Add '-1.5625' to each side of the equation. 1.5625 + 1.25c + -1.5625 + c2 = 0 + -1.5625 Reorder the terms: 1.5625 + -1.5625 + 1.25c + c2 = 0 + -1.5625 Combine like terms: 1.5625 + -1.5625 = 0.0000 0.0000 + 1.25c + c2 = 0 + -1.5625 1.25c + c2 = 0 + -1.5625 Combine like terms: 0 + -1.5625 = -1.5625 1.25c + c2 = -1.5625 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 = -1.5625 + 0.390625 Reorder the terms: 0.390625 + 1.25c + c2 = -1.5625 + 0.390625 Combine like terms: -1.5625 + 0.390625 = -1.171875 0.390625 + 1.25c + c2 = -1.171875 Factor a perfect square on the left side: (c + 0.625)(c + 0.625) = -1.171875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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