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Simplifying (6c2) + -2.4c + 3 = -6 Reorder the terms: 3 + -2.4c + (6c2) = -6 Solving 3 + -2.4c + (6c2) = -6 Solving for variable 'c'. Reorder the terms: 3 + 6 + -2.4c + (6c2) = -6 + 6 Combine like terms: 3 + 6 = 9 9 + -2.4c + (6c2) = -6 + 6 Combine like terms: -6 + 6 = 0 9 + -2.4c + (6c2) = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.5 + -0.4c + c2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -0.4c + -1.5 + c2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -0.4c + c2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.4c + c2 = 0 + -1.5 -0.4c + c2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -0.4c + c2 = -1.5 The c term is -0.4c. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4c + 0.04 + c2 = -1.5 + 0.04 Reorder the terms: 0.04 + -0.4c + c2 = -1.5 + 0.04 Combine like terms: -1.5 + 0.04 = -1.46 0.04 + -0.4c + c2 = -1.46 Factor a perfect square on the left side: ((c) + -0.2)((c) + -0.2) = -1.46 Can't calculate square root of the right side. The solution to this equation could not be determined.
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