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Simplifying 7k2 + -5k + 48 = 0 Reorder the terms: 48 + -5k + 7k2 = 0 Solving 48 + -5k + 7k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 6.857142857 + -0.7142857143k + k2 = 0 Move the constant term to the right: Add '-6.857142857' to each side of the equation. 6.857142857 + -0.7142857143k + -6.857142857 + k2 = 0 + -6.857142857 Reorder the terms: 6.857142857 + -6.857142857 + -0.7142857143k + k2 = 0 + -6.857142857 Combine like terms: 6.857142857 + -6.857142857 = 0.000000000 0.000000000 + -0.7142857143k + k2 = 0 + -6.857142857 -0.7142857143k + k2 = 0 + -6.857142857 Combine like terms: 0 + -6.857142857 = -6.857142857 -0.7142857143k + k2 = -6.857142857 The k term is -0.7142857143k. Take half its coefficient (-0.3571428572). Square it (0.1275510204) and add it to both sides. Add '0.1275510204' to each side of the equation. -0.7142857143k + 0.1275510204 + k2 = -6.857142857 + 0.1275510204 Reorder the terms: 0.1275510204 + -0.7142857143k + k2 = -6.857142857 + 0.1275510204 Combine like terms: -6.857142857 + 0.1275510204 = -6.7295918366 0.1275510204 + -0.7142857143k + k2 = -6.7295918366 Factor a perfect square on the left side: (k + -0.3571428572)(k + -0.3571428572) = -6.7295918366 Can't calculate square root of the right side. The solution to this equation could not be determined.
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