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Simplifying -18c(-17c) + 9c + c + 7c = -18 Remove parenthesis around (-17c) -18c * -17c + 9c + c + 7c = -18 Reorder the terms for easier multiplication: -18 * -17c * c + 9c + c + 7c = -18 Multiply -18 * -17 306c * c + 9c + c + 7c = -18 Multiply c * c 306c2 + 9c + c + 7c = -18 Reorder the terms: 9c + c + 7c + 306c2 = -18 Combine like terms: 9c + c = 10c 10c + 7c + 306c2 = -18 Combine like terms: 10c + 7c = 17c 17c + 306c2 = -18 Solving 17c + 306c2 = -18 Solving for variable 'c'. Reorder the terms: 18 + 17c + 306c2 = -18 + 18 Combine like terms: -18 + 18 = 0 18 + 17c + 306c2 = 0 Begin completing the square. Divide all terms by 306 the coefficient of the squared term: Divide each side by '306'. 0.05882352941 + 0.05555555556c + c2 = 0 Move the constant term to the right: Add '-0.05882352941' to each side of the equation. 0.05882352941 + 0.05555555556c + -0.05882352941 + c2 = 0 + -0.05882352941 Reorder the terms: 0.05882352941 + -0.05882352941 + 0.05555555556c + c2 = 0 + -0.05882352941 Combine like terms: 0.05882352941 + -0.05882352941 = 0.00000000000 0.00000000000 + 0.05555555556c + c2 = 0 + -0.05882352941 0.05555555556c + c2 = 0 + -0.05882352941 Combine like terms: 0 + -0.05882352941 = -0.05882352941 0.05555555556c + c2 = -0.05882352941 The c term is 0.05555555556c. Take half its coefficient (0.02777777778). Square it (0.0007716049384) and add it to both sides. Add '0.0007716049384' to each side of the equation. 0.05555555556c + 0.0007716049384 + c2 = -0.05882352941 + 0.0007716049384 Reorder the terms: 0.0007716049384 + 0.05555555556c + c2 = -0.05882352941 + 0.0007716049384 Combine like terms: -0.05882352941 + 0.0007716049384 = -0.0580519244716 0.0007716049384 + 0.05555555556c + c2 = -0.0580519244716 Factor a perfect square on the left side: (c + 0.02777777778)(c + 0.02777777778) = -0.0580519244716 Can't calculate square root of the right side. The solution to this equation could not be determined.
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