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Simplifying 2c(3 + c) + -7(c + -2) = 0 (3 * 2c + c * 2c) + -7(c + -2) = 0 (6c + 2c2) + -7(c + -2) = 0 Reorder the terms: 6c + 2c2 + -7(-2 + c) = 0 6c + 2c2 + (-2 * -7 + c * -7) = 0 6c + 2c2 + (14 + -7c) = 0 Reorder the terms: 14 + 6c + -7c + 2c2 = 0 Combine like terms: 6c + -7c = -1c 14 + -1c + 2c2 = 0 Solving 14 + -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'. 7 + -0.5c + c2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -0.5c + -7 + c2 = 0 + -7 Reorder the terms: 7 + -7 + -0.5c + c2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -0.5c + c2 = 0 + -7 -0.5c + c2 = 0 + -7 Combine like terms: 0 + -7 = -7 -0.5c + c2 = -7 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 = -7 + 0.0625 Reorder the terms: 0.0625 + -0.5c + c2 = -7 + 0.0625 Combine like terms: -7 + 0.0625 = -6.9375 0.0625 + -0.5c + c2 = -6.9375 Factor a perfect square on the left side: (c + -0.25)(c + -0.25) = -6.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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