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Simplifying (7c2 + -3c + 6) + -1(-9c2 + 2c + -8) = 0 Reorder the terms: (6 + -3c + 7c2) + -1(-9c2 + 2c + -8) = 0 Remove parenthesis around (6 + -3c + 7c2) 6 + -3c + 7c2 + -1(-9c2 + 2c + -8) = 0 Reorder the terms: 6 + -3c + 7c2 + -1(-8 + 2c + -9c2) = 0 6 + -3c + 7c2 + (-8 * -1 + 2c * -1 + -9c2 * -1) = 0 6 + -3c + 7c2 + (8 + -2c + 9c2) = 0 Reorder the terms: 6 + 8 + -3c + -2c + 7c2 + 9c2 = 0 Combine like terms: 6 + 8 = 14 14 + -3c + -2c + 7c2 + 9c2 = 0 Combine like terms: -3c + -2c = -5c 14 + -5c + 7c2 + 9c2 = 0 Combine like terms: 7c2 + 9c2 = 16c2 14 + -5c + 16c2 = 0 Solving 14 + -5c + 16c2 = 0 Solving for variable 'c'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.875 + -0.3125c + c2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + -0.3125c + -0.875 + c2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + -0.3125c + c2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + -0.3125c + c2 = 0 + -0.875 -0.3125c + c2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 -0.3125c + c2 = -0.875 The c term is -0.3125c. Take half its coefficient (-0.15625). Square it (0.0244140625) and add it to both sides. Add '0.0244140625' to each side of the equation. -0.3125c + 0.0244140625 + c2 = -0.875 + 0.0244140625 Reorder the terms: 0.0244140625 + -0.3125c + c2 = -0.875 + 0.0244140625 Combine like terms: -0.875 + 0.0244140625 = -0.8505859375 0.0244140625 + -0.3125c + c2 = -0.8505859375 Factor a perfect square on the left side: (c + -0.15625)(c + -0.15625) = -0.8505859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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