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Simplifying 5c2 + -14c + 40 = 0 Reorder the terms: 40 + -14c + 5c2 = 0 Solving 40 + -14c + 5c2 = 0 Solving for variable 'c'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 8 + -2.8c + c2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -2.8c + -8 + c2 = 0 + -8 Reorder the terms: 8 + -8 + -2.8c + c2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2.8c + c2 = 0 + -8 -2.8c + c2 = 0 + -8 Combine like terms: 0 + -8 = -8 -2.8c + c2 = -8 The c term is -2.8c. Take half its coefficient (-1.4). Square it (1.96) and add it to both sides. Add '1.96' to each side of the equation. -2.8c + 1.96 + c2 = -8 + 1.96 Reorder the terms: 1.96 + -2.8c + c2 = -8 + 1.96 Combine like terms: -8 + 1.96 = -6.04 1.96 + -2.8c + c2 = -6.04 Factor a perfect square on the left side: (c + -1.4)(c + -1.4) = -6.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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