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Simplifying -4k + 3 + k2 + -1k + 8 = 0 Reorder the terms: 3 + 8 + -4k + -1k + k2 = 0 Combine like terms: 3 + 8 = 11 11 + -4k + -1k + k2 = 0 Combine like terms: -4k + -1k = -5k 11 + -5k + k2 = 0 Solving 11 + -5k + k2 = 0 Solving for variable 'k'. Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + -5k + -11 + k2 = 0 + -11 Reorder the terms: 11 + -11 + -5k + k2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -5k + k2 = 0 + -11 -5k + k2 = 0 + -11 Combine like terms: 0 + -11 = -11 -5k + k2 = -11 The k term is -5k. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5k + 6.25 + k2 = -11 + 6.25 Reorder the terms: 6.25 + -5k + k2 = -11 + 6.25 Combine like terms: -11 + 6.25 = -4.75 6.25 + -5k + k2 = -4.75 Factor a perfect square on the left side: (k + -2.5)(k + -2.5) = -4.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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