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Simplifying (c2 + -9c + -5) + -1(-1c2 + -8c + -10) = 0 Reorder the terms: (-5 + -9c + c2) + -1(-1c2 + -8c + -10) = 0 Remove parenthesis around (-5 + -9c + c2) -5 + -9c + c2 + -1(-1c2 + -8c + -10) = 0 Reorder the terms: -5 + -9c + c2 + -1(-10 + -8c + -1c2) = 0 -5 + -9c + c2 + (-10 * -1 + -8c * -1 + -1c2 * -1) = 0 -5 + -9c + c2 + (10 + 8c + 1c2) = 0 Reorder the terms: -5 + 10 + -9c + 8c + c2 + 1c2 = 0 Combine like terms: -5 + 10 = 5 5 + -9c + 8c + c2 + 1c2 = 0 Combine like terms: -9c + 8c = -1c 5 + -1c + c2 + 1c2 = 0 Combine like terms: c2 + 1c2 = 2c2 5 + -1c + 2c2 = 0 Solving 5 + -1c + 2c2 = 0 Solving for variable 'c'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 2.5 + -0.5c + c2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + -0.5c + -2.5 + c2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + -0.5c + c2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -0.5c + c2 = 0 + -2.5 -0.5c + c2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 -0.5c + c2 = -2.5 The c term is -0.5c. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5c + 0.0625 + c2 = -2.5 + 0.0625 Reorder the terms: 0.0625 + -0.5c + c2 = -2.5 + 0.0625 Combine like terms: -2.5 + 0.0625 = -2.4375 0.0625 + -0.5c + c2 = -2.4375 Factor a perfect square on the left side: (c + -0.25)(c + -0.25) = -2.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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