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Simplifying 7k2 = -11 + 5k Solving 7k2 = -11 + 5k Solving for variable 'k'. Reorder the terms: 11 + -5k + 7k2 = -11 + 5k + 11 + -5k Reorder the terms: 11 + -5k + 7k2 = -11 + 11 + 5k + -5k Combine like terms: -11 + 11 = 0 11 + -5k + 7k2 = 0 + 5k + -5k 11 + -5k + 7k2 = 5k + -5k Combine like terms: 5k + -5k = 0 11 + -5k + 7k2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.571428571 + -0.7142857143k + k2 = 0 Move the constant term to the right: Add '-1.571428571' to each side of the equation. 1.571428571 + -0.7142857143k + -1.571428571 + k2 = 0 + -1.571428571 Reorder the terms: 1.571428571 + -1.571428571 + -0.7142857143k + k2 = 0 + -1.571428571 Combine like terms: 1.571428571 + -1.571428571 = 0.000000000 0.000000000 + -0.7142857143k + k2 = 0 + -1.571428571 -0.7142857143k + k2 = 0 + -1.571428571 Combine like terms: 0 + -1.571428571 = -1.571428571 -0.7142857143k + k2 = -1.571428571 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 = -1.571428571 + 0.1275510204 Reorder the terms: 0.1275510204 + -0.7142857143k + k2 = -1.571428571 + 0.1275510204 Combine like terms: -1.571428571 + 0.1275510204 = -1.4438775506 0.1275510204 + -0.7142857143k + k2 = -1.4438775506 Factor a perfect square on the left side: (k + -0.3571428572)(k + -0.3571428572) = -1.4438775506 Can't calculate square root of the right side. The solution to this equation could not be determined.
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