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Simplifying 9k2 + -2k + 5 = 0 Reorder the terms: 5 + -2k + 9k2 = 0 Solving 5 + -2k + 9k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.5555555556 + -0.2222222222k + k2 = 0 Move the constant term to the right: Add '-0.5555555556' to each side of the equation. 0.5555555556 + -0.2222222222k + -0.5555555556 + k2 = 0 + -0.5555555556 Reorder the terms: 0.5555555556 + -0.5555555556 + -0.2222222222k + k2 = 0 + -0.5555555556 Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000 0.0000000000 + -0.2222222222k + k2 = 0 + -0.5555555556 -0.2222222222k + k2 = 0 + -0.5555555556 Combine like terms: 0 + -0.5555555556 = -0.5555555556 -0.2222222222k + k2 = -0.5555555556 The k term is -0.2222222222k. Take half its coefficient (-0.1111111111). Square it (0.01234567901) and add it to both sides. Add '0.01234567901' to each side of the equation. -0.2222222222k + 0.01234567901 + k2 = -0.5555555556 + 0.01234567901 Reorder the terms: 0.01234567901 + -0.2222222222k + k2 = -0.5555555556 + 0.01234567901 Combine like terms: -0.5555555556 + 0.01234567901 = -0.54320987659 0.01234567901 + -0.2222222222k + k2 = -0.54320987659 Factor a perfect square on the left side: (k + -0.1111111111)(k + -0.1111111111) = -0.54320987659 Can't calculate square root of the right side. The solution to this equation could not be determined.
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