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Simplifying 7k2 + 14k + 22 = 9 Reorder the terms: 22 + 14k + 7k2 = 9 Solving 22 + 14k + 7k2 = 9 Solving for variable 'k'. Reorder the terms: 22 + -9 + 14k + 7k2 = 9 + -9 Combine like terms: 22 + -9 = 13 13 + 14k + 7k2 = 9 + -9 Combine like terms: 9 + -9 = 0 13 + 14k + 7k2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.857142857 + 2k + k2 = 0 Move the constant term to the right: Add '-1.857142857' to each side of the equation. 1.857142857 + 2k + -1.857142857 + k2 = 0 + -1.857142857 Reorder the terms: 1.857142857 + -1.857142857 + 2k + k2 = 0 + -1.857142857 Combine like terms: 1.857142857 + -1.857142857 = 0.000000000 0.000000000 + 2k + k2 = 0 + -1.857142857 2k + k2 = 0 + -1.857142857 Combine like terms: 0 + -1.857142857 = -1.857142857 2k + k2 = -1.857142857 The k term is 2k. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2k + 1 + k2 = -1.857142857 + 1 Reorder the terms: 1 + 2k + k2 = -1.857142857 + 1 Combine like terms: -1.857142857 + 1 = -0.857142857 1 + 2k + k2 = -0.857142857 Factor a perfect square on the left side: (k + 1)(k + 1) = -0.857142857 Can't calculate square root of the right side. The solution to this equation could not be determined.
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