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Simplifying 4c2 + 21 + c + 5 = 0 Reorder the terms: 21 + 5 + c + 4c2 = 0 Combine like terms: 21 + 5 = 26 26 + c + 4c2 = 0 Solving 26 + c + 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'. 6.5 + 0.25c + c2 = 0 Move the constant term to the right: Add '-6.5' to each side of the equation. 6.5 + 0.25c + -6.5 + c2 = 0 + -6.5 Reorder the terms: 6.5 + -6.5 + 0.25c + c2 = 0 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 0.25c + c2 = 0 + -6.5 0.25c + c2 = 0 + -6.5 Combine like terms: 0 + -6.5 = -6.5 0.25c + c2 = -6.5 The c term is c. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.25c + 0.25 + c2 = -6.5 + 0.25 Reorder the terms: 0.25 + 0.25c + c2 = -6.5 + 0.25 Combine like terms: -6.5 + 0.25 = -6.25 0.25 + 0.25c + c2 = -6.25 Factor a perfect square on the left side: (c + 0.5)(c + 0.5) = -6.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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