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Simplifying (6c2 + 3) + (8c2 + 8c + 2) = 0 Reorder the terms: (3 + 6c2) + (8c2 + 8c + 2) = 0 Remove parenthesis around (3 + 6c2) 3 + 6c2 + (8c2 + 8c + 2) = 0 Reorder the terms: 3 + 6c2 + (2 + 8c + 8c2) = 0 Remove parenthesis around (2 + 8c + 8c2) 3 + 6c2 + 2 + 8c + 8c2 = 0 Reorder the terms: 3 + 2 + 8c + 6c2 + 8c2 = 0 Combine like terms: 3 + 2 = 5 5 + 8c + 6c2 + 8c2 = 0 Combine like terms: 6c2 + 8c2 = 14c2 5 + 8c + 14c2 = 0 Solving 5 + 8c + 14c2 = 0 Solving for variable 'c'. Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.3571428571 + 0.5714285714c + c2 = 0 Move the constant term to the right: Add '-0.3571428571' to each side of the equation. 0.3571428571 + 0.5714285714c + -0.3571428571 + c2 = 0 + -0.3571428571 Reorder the terms: 0.3571428571 + -0.3571428571 + 0.5714285714c + c2 = 0 + -0.3571428571 Combine like terms: 0.3571428571 + -0.3571428571 = 0.0000000000 0.0000000000 + 0.5714285714c + c2 = 0 + -0.3571428571 0.5714285714c + c2 = 0 + -0.3571428571 Combine like terms: 0 + -0.3571428571 = -0.3571428571 0.5714285714c + c2 = -0.3571428571 The c term is 0.5714285714c. Take half its coefficient (0.2857142857). Square it (0.08163265305) and add it to both sides. Add '0.08163265305' to each side of the equation. 0.5714285714c + 0.08163265305 + c2 = -0.3571428571 + 0.08163265305 Reorder the terms: 0.08163265305 + 0.5714285714c + c2 = -0.3571428571 + 0.08163265305 Combine like terms: -0.3571428571 + 0.08163265305 = -0.27551020405 0.08163265305 + 0.5714285714c + c2 = -0.27551020405 Factor a perfect square on the left side: (c + 0.2857142857)(c + 0.2857142857) = -0.27551020405 Can't calculate square root of the right side. The solution to this equation could not be determined.
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