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Simplifying 9k2 + -22k + 56 = 0 Reorder the terms: 56 + -22k + 9k2 = 0 Solving 56 + -22k + 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'. 6.222222222 + -2.444444444k + k2 = 0 Move the constant term to the right: Add '-6.222222222' to each side of the equation. 6.222222222 + -2.444444444k + -6.222222222 + k2 = 0 + -6.222222222 Reorder the terms: 6.222222222 + -6.222222222 + -2.444444444k + k2 = 0 + -6.222222222 Combine like terms: 6.222222222 + -6.222222222 = 0.000000000 0.000000000 + -2.444444444k + k2 = 0 + -6.222222222 -2.444444444k + k2 = 0 + -6.222222222 Combine like terms: 0 + -6.222222222 = -6.222222222 -2.444444444k + k2 = -6.222222222 The k term is -2.444444444k. Take half its coefficient (-1.222222222). Square it (1.493827160) and add it to both sides. Add '1.493827160' to each side of the equation. -2.444444444k + 1.493827160 + k2 = -6.222222222 + 1.493827160 Reorder the terms: 1.493827160 + -2.444444444k + k2 = -6.222222222 + 1.493827160 Combine like terms: -6.222222222 + 1.493827160 = -4.728395062 1.493827160 + -2.444444444k + k2 = -4.728395062 Factor a perfect square on the left side: (k + -1.222222222)(k + -1.222222222) = -4.728395062 Can't calculate square root of the right side. The solution to this equation could not be determined.
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