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Simplifying k2 + 12k + 1000 = 0 Reorder the terms: 1000 + 12k + k2 = 0 Solving 1000 + 12k + k2 = 0 Solving for variable 'k'. Begin completing the square. Move the constant term to the right: Add '-1000' to each side of the equation. 1000 + 12k + -1000 + k2 = 0 + -1000 Reorder the terms: 1000 + -1000 + 12k + k2 = 0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 12k + k2 = 0 + -1000 12k + k2 = 0 + -1000 Combine like terms: 0 + -1000 = -1000 12k + k2 = -1000 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 = -1000 + 36 Reorder the terms: 36 + 12k + k2 = -1000 + 36 Combine like terms: -1000 + 36 = -964 36 + 12k + k2 = -964 Factor a perfect square on the left side: (k + 6)(k + 6) = -964 Can't calculate square root of the right side. The solution to this equation could not be determined.
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