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Simplifying k2 + 3k + 8 = 0 Reorder the terms: 8 + 3k + k2 = 0 Solving 8 + 3k + k2 = 0 Solving for variable 'k'. Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + 3k + -8 + k2 = 0 + -8 Reorder the terms: 8 + -8 + 3k + k2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3k + k2 = 0 + -8 3k + k2 = 0 + -8 Combine like terms: 0 + -8 = -8 3k + k2 = -8 The k term is 3k. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3k + 2.25 + k2 = -8 + 2.25 Reorder the terms: 2.25 + 3k + k2 = -8 + 2.25 Combine like terms: -8 + 2.25 = -5.75 2.25 + 3k + k2 = -5.75 Factor a perfect square on the left side: (k + 1.5)(k + 1.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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