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Simplifying k2 + k + 15 = 0 Reorder the terms: 15 + k + k2 = 0 Solving 15 + k + k2 = 0 Solving for variable 'k'. Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + k + -15 + k2 = 0 + -15 Reorder the terms: 15 + -15 + k + k2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + k + k2 = 0 + -15 k + k2 = 0 + -15 Combine like terms: 0 + -15 = -15 k + k2 = -15 The k term is k. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. k + 0.25 + k2 = -15 + 0.25 Reorder the terms: 0.25 + k + k2 = -15 + 0.25 Combine like terms: -15 + 0.25 = -14.75 0.25 + k + k2 = -14.75 Factor a perfect square on the left side: (k + 0.5)(k + 0.5) = -14.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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