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Simplifying c2 + 8c + 100 = 0 Reorder the terms: 100 + 8c + c2 = 0 Solving 100 + 8c + c2 = 0 Solving for variable 'c'. Begin completing the square. Move the constant term to the right: Add '-100' to each side of the equation. 100 + 8c + -100 + c2 = 0 + -100 Reorder the terms: 100 + -100 + 8c + c2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + 8c + c2 = 0 + -100 8c + c2 = 0 + -100 Combine like terms: 0 + -100 = -100 8c + c2 = -100 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 = -100 + 16 Reorder the terms: 16 + 8c + c2 = -100 + 16 Combine like terms: -100 + 16 = -84 16 + 8c + c2 = -84 Factor a perfect square on the left side: (c + 4)(c + 4) = -84 Can't calculate square root of the right side. The solution to this equation could not be determined.
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