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Simplifying 25k2 + -22k + 7 = 0 Reorder the terms: 7 + -22k + 25k2 = 0 Solving 7 + -22k + 25k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.28 + -0.88k + k2 = 0 Move the constant term to the right: Add '-0.28' to each side of the equation. 0.28 + -0.88k + -0.28 + k2 = 0 + -0.28 Reorder the terms: 0.28 + -0.28 + -0.88k + k2 = 0 + -0.28 Combine like terms: 0.28 + -0.28 = 0.00 0.00 + -0.88k + k2 = 0 + -0.28 -0.88k + k2 = 0 + -0.28 Combine like terms: 0 + -0.28 = -0.28 -0.88k + k2 = -0.28 The k term is -0.88k. Take half its coefficient (-0.44). Square it (0.1936) and add it to both sides. Add '0.1936' to each side of the equation. -0.88k + 0.1936 + k2 = -0.28 + 0.1936 Reorder the terms: 0.1936 + -0.88k + k2 = -0.28 + 0.1936 Combine like terms: -0.28 + 0.1936 = -0.0864 0.1936 + -0.88k + k2 = -0.0864 Factor a perfect square on the left side: (k + -0.44)(k + -0.44) = -0.0864 Can't calculate square root of the right side. The solution to this equation could not be determined.
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