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Simplifying 16c2 + 14c + 9 = 0 Reorder the terms: 9 + 14c + 16c2 = 0 Solving 9 + 14c + 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'. 0.5625 + 0.875c + c2 = 0 Move the constant term to the right: Add '-0.5625' to each side of the equation. 0.5625 + 0.875c + -0.5625 + c2 = 0 + -0.5625 Reorder the terms: 0.5625 + -0.5625 + 0.875c + c2 = 0 + -0.5625 Combine like terms: 0.5625 + -0.5625 = 0.0000 0.0000 + 0.875c + c2 = 0 + -0.5625 0.875c + c2 = 0 + -0.5625 Combine like terms: 0 + -0.5625 = -0.5625 0.875c + c2 = -0.5625 The c term is 0.875c. Take half its coefficient (0.4375). Square it (0.19140625) and add it to both sides. Add '0.19140625' to each side of the equation. 0.875c + 0.19140625 + c2 = -0.5625 + 0.19140625 Reorder the terms: 0.19140625 + 0.875c + c2 = -0.5625 + 0.19140625 Combine like terms: -0.5625 + 0.19140625 = -0.37109375 0.19140625 + 0.875c + c2 = -0.37109375 Factor a perfect square on the left side: (c + 0.4375)(c + 0.4375) = -0.37109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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