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Simplifying k2 + 7k + 168 = 0 Reorder the terms: 168 + 7k + k2 = 0 Solving 168 + 7k + k2 = 0 Solving for variable 'k'. Begin completing the square. Move the constant term to the right: Add '-168' to each side of the equation. 168 + 7k + -168 + k2 = 0 + -168 Reorder the terms: 168 + -168 + 7k + k2 = 0 + -168 Combine like terms: 168 + -168 = 0 0 + 7k + k2 = 0 + -168 7k + k2 = 0 + -168 Combine like terms: 0 + -168 = -168 7k + k2 = -168 The k term is 7k. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7k + 12.25 + k2 = -168 + 12.25 Reorder the terms: 12.25 + 7k + k2 = -168 + 12.25 Combine like terms: -168 + 12.25 = -155.75 12.25 + 7k + k2 = -155.75 Factor a perfect square on the left side: (k + 3.5)(k + 3.5) = -155.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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