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Simplifying k2 + k + 66.6 = 0 Reorder the terms: 66.6 + k + k2 = 0 Solving 66.6 + k + k2 = 0 Solving for variable 'k'. Begin completing the square. Move the constant term to the right: Add '-66.6' to each side of the equation. 66.6 + k + -66.6 + k2 = 0 + -66.6 Reorder the terms: 66.6 + -66.6 + k + k2 = 0 + -66.6 Combine like terms: 66.6 + -66.6 = 0.0 0.0 + k + k2 = 0 + -66.6 k + k2 = 0 + -66.6 Combine like terms: 0 + -66.6 = -66.6 k + k2 = -66.6 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 = -66.6 + 0.25 Reorder the terms: 0.25 + k + k2 = -66.6 + 0.25 Combine like terms: -66.6 + 0.25 = -66.35 0.25 + k + k2 = -66.35 Factor a perfect square on the left side: (k + 0.5)(k + 0.5) = -66.35 Can't calculate square root of the right side. The solution to this equation could not be determined.
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