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Simplifying c2 = -2c + -15 Reorder the terms: c2 = -15 + -2c Solving c2 = -15 + -2c Solving for variable 'c'. Reorder the terms: 15 + 2c + c2 = -15 + -2c + 15 + 2c Reorder the terms: 15 + 2c + c2 = -15 + 15 + -2c + 2c Combine like terms: -15 + 15 = 0 15 + 2c + c2 = 0 + -2c + 2c 15 + 2c + c2 = -2c + 2c Combine like terms: -2c + 2c = 0 15 + 2c + c2 = 0 Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + 2c + -15 + c2 = 0 + -15 Reorder the terms: 15 + -15 + 2c + c2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 2c + c2 = 0 + -15 2c + c2 = 0 + -15 Combine like terms: 0 + -15 = -15 2c + c2 = -15 The c term is 2c. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2c + 1 + c2 = -15 + 1 Reorder the terms: 1 + 2c + c2 = -15 + 1 Combine like terms: -15 + 1 = -14 1 + 2c + c2 = -14 Factor a perfect square on the left side: (c + 1)(c + 1) = -14 Can't calculate square root of the right side. The solution to this equation could not be determined.
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