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Simplifying 7k2 + -6k + 3 = 3k Reorder the terms: 3 + -6k + 7k2 = 3k Solving 3 + -6k + 7k2 = 3k Solving for variable 'k'. Reorder the terms: 3 + -6k + -3k + 7k2 = 3k + -3k Combine like terms: -6k + -3k = -9k 3 + -9k + 7k2 = 3k + -3k Combine like terms: 3k + -3k = 0 3 + -9k + 7k2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.4285714286 + -1.285714286k + k2 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + -1.285714286k + -0.4285714286 + k2 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + -1.285714286k + k2 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + -1.285714286k + k2 = 0 + -0.4285714286 -1.285714286k + k2 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 -1.285714286k + k2 = -0.4285714286 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 = -0.4285714286 + 0.4132653063 Reorder the terms: 0.4132653063 + -1.285714286k + k2 = -0.4285714286 + 0.4132653063 Combine like terms: -0.4285714286 + 0.4132653063 = -0.0153061223 0.4132653063 + -1.285714286k + k2 = -0.0153061223 Factor a perfect square on the left side: (k + -0.642857143)(k + -0.642857143) = -0.0153061223 Can't calculate square root of the right side. The solution to this equation could not be determined.
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