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Simplifying -7k2 + 4k + -3 = 0 Reorder the terms: -3 + 4k + -7k2 = 0 Solving -3 + 4k + -7k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 0.4285714286 + -0.5714285714k + k2 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + -0.5714285714k + -0.4285714286 + k2 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + -0.5714285714k + k2 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + -0.5714285714k + k2 = 0 + -0.4285714286 -0.5714285714k + k2 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 -0.5714285714k + k2 = -0.4285714286 The k term is -0.5714285714k. Take half its coefficient (-0.2857142857). Square it (0.08163265305) and add it to both sides. Add '0.08163265305' to each side of the equation. -0.5714285714k + 0.08163265305 + k2 = -0.4285714286 + 0.08163265305 Reorder the terms: 0.08163265305 + -0.5714285714k + k2 = -0.4285714286 + 0.08163265305 Combine like terms: -0.4285714286 + 0.08163265305 = -0.34693877555 0.08163265305 + -0.5714285714k + k2 = -0.34693877555 Factor a perfect square on the left side: (k + -0.2857142857)(k + -0.2857142857) = -0.34693877555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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