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Simplifying k2 + 12k + 108 = 0 Reorder the terms: 108 + 12k + k2 = 0 Solving 108 + 12k + k2 = 0 Solving for variable 'k'. Begin completing the square. Move the constant term to the right: Add '-108' to each side of the equation. 108 + 12k + -108 + k2 = 0 + -108 Reorder the terms: 108 + -108 + 12k + k2 = 0 + -108 Combine like terms: 108 + -108 = 0 0 + 12k + k2 = 0 + -108 12k + k2 = 0 + -108 Combine like terms: 0 + -108 = -108 12k + k2 = -108 The k term is 12k. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12k + 36 + k2 = -108 + 36 Reorder the terms: 36 + 12k + k2 = -108 + 36 Combine like terms: -108 + 36 = -72 36 + 12k + k2 = -72 Factor a perfect square on the left side: (k + 6)(k + 6) = -72 Can't calculate square root of the right side. The solution to this equation could not be determined.
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