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Simplifying 7c(7c) + 8c + 1 = 0 Remove parenthesis around (7c) 7c * 7c + 8c + 1 = 0 Reorder the terms for easier multiplication: 7 * 7c * c + 8c + 1 = 0 Multiply 7 * 7 49c * c + 8c + 1 = 0 Multiply c * c 49c2 + 8c + 1 = 0 Reorder the terms: 1 + 8c + 49c2 = 0 Solving 1 + 8c + 49c2 = 0 Solving for variable 'c'. Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. 0.02040816327 + 0.1632653061c + c2 = 0 Move the constant term to the right: Add '-0.02040816327' to each side of the equation. 0.02040816327 + 0.1632653061c + -0.02040816327 + c2 = 0 + -0.02040816327 Reorder the terms: 0.02040816327 + -0.02040816327 + 0.1632653061c + c2 = 0 + -0.02040816327 Combine like terms: 0.02040816327 + -0.02040816327 = 0.00000000000 0.00000000000 + 0.1632653061c + c2 = 0 + -0.02040816327 0.1632653061c + c2 = 0 + -0.02040816327 Combine like terms: 0 + -0.02040816327 = -0.02040816327 0.1632653061c + c2 = -0.02040816327 The c term is 0.1632653061c. Take half its coefficient (0.08163265305). Square it (0.006663890044) and add it to both sides. Add '0.006663890044' to each side of the equation. 0.1632653061c + 0.006663890044 + c2 = -0.02040816327 + 0.006663890044 Reorder the terms: 0.006663890044 + 0.1632653061c + c2 = -0.02040816327 + 0.006663890044 Combine like terms: -0.02040816327 + 0.006663890044 = -0.013744273226 0.006663890044 + 0.1632653061c + c2 = -0.013744273226 Factor a perfect square on the left side: (c + 0.08163265305)(c + 0.08163265305) = -0.013744273226 Can't calculate square root of the right side. The solution to this equation could not be determined.
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