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Simplifying 2c + c2 + 5 + -3c + 3c2 = 0 Reorder the terms: 5 + 2c + -3c + c2 + 3c2 = 0 Combine like terms: 2c + -3c = -1c 5 + -1c + c2 + 3c2 = 0 Combine like terms: c2 + 3c2 = 4c2 5 + -1c + 4c2 = 0 Solving 5 + -1c + 4c2 = 0 Solving for variable 'c'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.25 + -0.25c + c2 = 0 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25 + -0.25c + -1.25 + c2 = 0 + -1.25 Reorder the terms: 1.25 + -1.25 + -0.25c + c2 = 0 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + -0.25c + c2 = 0 + -1.25 -0.25c + c2 = 0 + -1.25 Combine like terms: 0 + -1.25 = -1.25 -0.25c + c2 = -1.25 The c term is -0.25c. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25c + 0.015625 + c2 = -1.25 + 0.015625 Reorder the terms: 0.015625 + -0.25c + c2 = -1.25 + 0.015625 Combine like terms: -1.25 + 0.015625 = -1.234375 0.015625 + -0.25c + c2 = -1.234375 Factor a perfect square on the left side: (c + -0.125)(c + -0.125) = -1.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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