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Simplifying 5k(k + -2) + -8k = -34 Reorder the terms: 5k(-2 + k) + -8k = -34 (-2 * 5k + k * 5k) + -8k = -34 (-10k + 5k2) + -8k = -34 Reorder the terms: -10k + -8k + 5k2 = -34 Combine like terms: -10k + -8k = -18k -18k + 5k2 = -34 Solving -18k + 5k2 = -34 Solving for variable 'k'. Reorder the terms: 34 + -18k + 5k2 = -34 + 34 Combine like terms: -34 + 34 = 0 34 + -18k + 5k2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 6.8 + -3.6k + k2 = 0 Move the constant term to the right: Add '-6.8' to each side of the equation. 6.8 + -3.6k + -6.8 + k2 = 0 + -6.8 Reorder the terms: 6.8 + -6.8 + -3.6k + k2 = 0 + -6.8 Combine like terms: 6.8 + -6.8 = 0.0 0.0 + -3.6k + k2 = 0 + -6.8 -3.6k + k2 = 0 + -6.8 Combine like terms: 0 + -6.8 = -6.8 -3.6k + k2 = -6.8 The k term is -3.6k. Take half its coefficient (-1.8). Square it (3.24) and add it to both sides. Add '3.24' to each side of the equation. -3.6k + 3.24 + k2 = -6.8 + 3.24 Reorder the terms: 3.24 + -3.6k + k2 = -6.8 + 3.24 Combine like terms: -6.8 + 3.24 = -3.56 3.24 + -3.6k + k2 = -3.56 Factor a perfect square on the left side: (k + -1.8)(k + -1.8) = -3.56 Can't calculate square root of the right side. The solution to this equation could not be determined.
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