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Simplifying 7k2 = -9k + -9 Reorder the terms: 7k2 = -9 + -9k Solving 7k2 = -9 + -9k Solving for variable 'k'. Reorder the terms: 9 + 9k + 7k2 = -9 + -9k + 9 + 9k Reorder the terms: 9 + 9k + 7k2 = -9 + 9 + -9k + 9k Combine like terms: -9 + 9 = 0 9 + 9k + 7k2 = 0 + -9k + 9k 9 + 9k + 7k2 = -9k + 9k Combine like terms: -9k + 9k = 0 9 + 9k + 7k2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.285714286 + 1.285714286k + k2 = 0 Move the constant term to the right: Add '-1.285714286' to each side of the equation. 1.285714286 + 1.285714286k + -1.285714286 + k2 = 0 + -1.285714286 Reorder the terms: 1.285714286 + -1.285714286 + 1.285714286k + k2 = 0 + -1.285714286 Combine like terms: 1.285714286 + -1.285714286 = 0.000000000 0.000000000 + 1.285714286k + k2 = 0 + -1.285714286 1.285714286k + k2 = 0 + -1.285714286 Combine like terms: 0 + -1.285714286 = -1.285714286 1.285714286k + k2 = -1.285714286 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 = -1.285714286 + 0.4132653063 Reorder the terms: 0.4132653063 + 1.285714286k + k2 = -1.285714286 + 0.4132653063 Combine like terms: -1.285714286 + 0.4132653063 = -0.8724489797 0.4132653063 + 1.285714286k + k2 = -0.8724489797 Factor a perfect square on the left side: (k + 0.642857143)(k + 0.642857143) = -0.8724489797 Can't calculate square root of the right side. The solution to this equation could not be determined.
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