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Simplifying 5c(c + -1) + 3 = 0 Reorder the terms: 5c(-1 + c) + 3 = 0 (-1 * 5c + c * 5c) + 3 = 0 (-5c + 5c2) + 3 = 0 Reorder the terms: 3 + -5c + 5c2 = 0 Solving 3 + -5c + 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'. 0.6 + -1c + c2 = 0 Move the constant term to the right: Add '-0.6' to each side of the equation. 0.6 + -1c + -0.6 + c2 = 0 + -0.6 Reorder the terms: 0.6 + -0.6 + -1c + c2 = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -1c + c2 = 0 + -0.6 -1c + c2 = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 -1c + c2 = -0.6 The c term is -1c. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1c + 0.25 + c2 = -0.6 + 0.25 Reorder the terms: 0.25 + -1c + c2 = -0.6 + 0.25 Combine like terms: -0.6 + 0.25 = -0.35 0.25 + -1c + c2 = -0.35 Factor a perfect square on the left side: (c + -0.5)(c + -0.5) = -0.35 Can't calculate square root of the right side. The solution to this equation could not be determined.
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