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Simplifying -7k2 + 9k + 2 = 7 Reorder the terms: 2 + 9k + -7k2 = 7 Solving 2 + 9k + -7k2 = 7 Solving for variable 'k'. Reorder the terms: 2 + -7 + 9k + -7k2 = 7 + -7 Combine like terms: 2 + -7 = -5 -5 + 9k + -7k2 = 7 + -7 Combine like terms: 7 + -7 = 0 -5 + 9k + -7k2 = 0 Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 0.7142857143 + -1.285714286k + k2 = 0 Move the constant term to the right: Add '-0.7142857143' to each side of the equation. 0.7142857143 + -1.285714286k + -0.7142857143 + k2 = 0 + -0.7142857143 Reorder the terms: 0.7142857143 + -0.7142857143 + -1.285714286k + k2 = 0 + -0.7142857143 Combine like terms: 0.7142857143 + -0.7142857143 = 0.0000000000 0.0000000000 + -1.285714286k + k2 = 0 + -0.7142857143 -1.285714286k + k2 = 0 + -0.7142857143 Combine like terms: 0 + -0.7142857143 = -0.7142857143 -1.285714286k + k2 = -0.7142857143 The k term is -1.285714286k. Take half its coefficient (-0.642857143). Square it (0.4132653063) and add it to both sides. Add '0.4132653063' to each side of the equation. -1.285714286k + 0.4132653063 + k2 = -0.7142857143 + 0.4132653063 Reorder the terms: 0.4132653063 + -1.285714286k + k2 = -0.7142857143 + 0.4132653063 Combine like terms: -0.7142857143 + 0.4132653063 = -0.301020408 0.4132653063 + -1.285714286k + k2 = -0.301020408 Factor a perfect square on the left side: (k + -0.642857143)(k + -0.642857143) = -0.301020408 Can't calculate square root of the right side. The solution to this equation could not be determined.
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