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Simplifying 4k2 + -15k + 8 = -5k2 + -6k Reorder the terms: 8 + -15k + 4k2 = -5k2 + -6k Reorder the terms: 8 + -15k + 4k2 = -6k + -5k2 Solving 8 + -15k + 4k2 = -6k + -5k2 Solving for variable 'k'. Reorder the terms: 8 + -15k + 6k + 4k2 + 5k2 = -6k + -5k2 + 6k + 5k2 Combine like terms: -15k + 6k = -9k 8 + -9k + 4k2 + 5k2 = -6k + -5k2 + 6k + 5k2 Combine like terms: 4k2 + 5k2 = 9k2 8 + -9k + 9k2 = -6k + -5k2 + 6k + 5k2 Reorder the terms: 8 + -9k + 9k2 = -6k + 6k + -5k2 + 5k2 Combine like terms: -6k + 6k = 0 8 + -9k + 9k2 = 0 + -5k2 + 5k2 8 + -9k + 9k2 = -5k2 + 5k2 Combine like terms: -5k2 + 5k2 = 0 8 + -9k + 9k2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.8888888889 + -1k + k2 = 0 Move the constant term to the right: Add '-0.8888888889' to each side of the equation. 0.8888888889 + -1k + -0.8888888889 + k2 = 0 + -0.8888888889 Reorder the terms: 0.8888888889 + -0.8888888889 + -1k + k2 = 0 + -0.8888888889 Combine like terms: 0.8888888889 + -0.8888888889 = 0.0000000000 0.0000000000 + -1k + k2 = 0 + -0.8888888889 -1k + k2 = 0 + -0.8888888889 Combine like terms: 0 + -0.8888888889 = -0.8888888889 -1k + k2 = -0.8888888889 The k term is -1k. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1k + 0.25 + k2 = -0.8888888889 + 0.25 Reorder the terms: 0.25 + -1k + k2 = -0.8888888889 + 0.25 Combine like terms: -0.8888888889 + 0.25 = -0.6388888889 0.25 + -1k + k2 = -0.6388888889 Factor a perfect square on the left side: (k + -0.5)(k + -0.5) = -0.6388888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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