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Simplifying c2 + 3c + 38 = 0 Reorder the terms: 38 + 3c + c2 = 0 Solving 38 + 3c + c2 = 0 Solving for variable 'c'. Begin completing the square. Move the constant term to the right: Add '-38' to each side of the equation. 38 + 3c + -38 + c2 = 0 + -38 Reorder the terms: 38 + -38 + 3c + c2 = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 3c + c2 = 0 + -38 3c + c2 = 0 + -38 Combine like terms: 0 + -38 = -38 3c + c2 = -38 The c term is 3c. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3c + 2.25 + c2 = -38 + 2.25 Reorder the terms: 2.25 + 3c + c2 = -38 + 2.25 Combine like terms: -38 + 2.25 = -35.75 2.25 + 3c + c2 = -35.75 Factor a perfect square on the left side: (c + 1.5)(c + 1.5) = -35.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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