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Simplifying (7c2 + 3c + 2) + (2c + 6) = 0 Reorder the terms: (2 + 3c + 7c2) + (2c + 6) = 0 Remove parenthesis around (2 + 3c + 7c2) 2 + 3c + 7c2 + (2c + 6) = 0 Reorder the terms: 2 + 3c + 7c2 + (6 + 2c) = 0 Remove parenthesis around (6 + 2c) 2 + 3c + 7c2 + 6 + 2c = 0 Reorder the terms: 2 + 6 + 3c + 2c + 7c2 = 0 Combine like terms: 2 + 6 = 8 8 + 3c + 2c + 7c2 = 0 Combine like terms: 3c + 2c = 5c 8 + 5c + 7c2 = 0 Solving 8 + 5c + 7c2 = 0 Solving for variable 'c'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.142857143 + 0.7142857143c + c2 = 0 Move the constant term to the right: Add '-1.142857143' to each side of the equation. 1.142857143 + 0.7142857143c + -1.142857143 + c2 = 0 + -1.142857143 Reorder the terms: 1.142857143 + -1.142857143 + 0.7142857143c + c2 = 0 + -1.142857143 Combine like terms: 1.142857143 + -1.142857143 = 0.000000000 0.000000000 + 0.7142857143c + c2 = 0 + -1.142857143 0.7142857143c + c2 = 0 + -1.142857143 Combine like terms: 0 + -1.142857143 = -1.142857143 0.7142857143c + c2 = -1.142857143 The c term is 0.7142857143c. Take half its coefficient (0.3571428572). Square it (0.1275510204) and add it to both sides. Add '0.1275510204' to each side of the equation. 0.7142857143c + 0.1275510204 + c2 = -1.142857143 + 0.1275510204 Reorder the terms: 0.1275510204 + 0.7142857143c + c2 = -1.142857143 + 0.1275510204 Combine like terms: -1.142857143 + 0.1275510204 = -1.0153061226 0.1275510204 + 0.7142857143c + c2 = -1.0153061226 Factor a perfect square on the left side: (c + 0.3571428572)(c + 0.3571428572) = -1.0153061226 Can't calculate square root of the right side. The solution to this equation could not be determined.
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