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Simplifying 4k2 + k + 44 = 0 Reorder the terms: 44 + k + 4k2 = 0 Solving 44 + k + 4k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 11 + 0.25k + k2 = 0 Move the constant term to the right: Add '-11' to each side of the equation. 11 + 0.25k + -11 + k2 = 0 + -11 Reorder the terms: 11 + -11 + 0.25k + k2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 0.25k + k2 = 0 + -11 0.25k + k2 = 0 + -11 Combine like terms: 0 + -11 = -11 0.25k + k2 = -11 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. 0.25k + 0.25 + k2 = -11 + 0.25 Reorder the terms: 0.25 + 0.25k + k2 = -11 + 0.25 Combine like terms: -11 + 0.25 = -10.75 0.25 + 0.25k + k2 = -10.75 Factor a perfect square on the left side: (k + 0.5)(k + 0.5) = -10.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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