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Simplifying k2 + 13 = -5k Reorder the terms: 13 + k2 = -5k Solving 13 + k2 = -5k Solving for variable 'k'. Reorder the terms: 13 + 5k + k2 = -5k + 5k Combine like terms: -5k + 5k = 0 13 + 5k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '-13' to each side of the equation. 13 + 5k + -13 + k2 = 0 + -13 Reorder the terms: 13 + -13 + 5k + k2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 5k + k2 = 0 + -13 5k + k2 = 0 + -13 Combine like terms: 0 + -13 = -13 5k + k2 = -13 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 = -13 + 6.25 Reorder the terms: 6.25 + 5k + k2 = -13 + 6.25 Combine like terms: -13 + 6.25 = -6.75 6.25 + 5k + k2 = -6.75 Factor a perfect square on the left side: (k + 2.5)(k + 2.5) = -6.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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