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Simplifying c2 + -8c = -28 Reorder the terms: -8c + c2 = -28 Solving -8c + c2 = -28 Solving for variable 'c'. Reorder the terms: 28 + -8c + c2 = -28 + 28 Combine like terms: -28 + 28 = 0 28 + -8c + c2 = 0 Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + -8c + -28 + c2 = 0 + -28 Reorder the terms: 28 + -28 + -8c + c2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -8c + c2 = 0 + -28 -8c + c2 = 0 + -28 Combine like terms: 0 + -28 = -28 -8c + c2 = -28 The c term is -8c. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8c + 16 + c2 = -28 + 16 Reorder the terms: 16 + -8c + c2 = -28 + 16 Combine like terms: -28 + 16 = -12 16 + -8c + c2 = -12 Factor a perfect square on the left side: (c + -4)(c + -4) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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