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Simplifying -3k2 + 2k + -17 = 4k2 + 7 Reorder the terms: -17 + 2k + -3k2 = 4k2 + 7 Reorder the terms: -17 + 2k + -3k2 = 7 + 4k2 Solving -17 + 2k + -3k2 = 7 + 4k2 Solving for variable 'k'. Reorder the terms: -17 + -7 + 2k + -3k2 + -4k2 = 7 + 4k2 + -7 + -4k2 Combine like terms: -17 + -7 = -24 -24 + 2k + -3k2 + -4k2 = 7 + 4k2 + -7 + -4k2 Combine like terms: -3k2 + -4k2 = -7k2 -24 + 2k + -7k2 = 7 + 4k2 + -7 + -4k2 Reorder the terms: -24 + 2k + -7k2 = 7 + -7 + 4k2 + -4k2 Combine like terms: 7 + -7 = 0 -24 + 2k + -7k2 = 0 + 4k2 + -4k2 -24 + 2k + -7k2 = 4k2 + -4k2 Combine like terms: 4k2 + -4k2 = 0 -24 + 2k + -7k2 = 0 Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 3.428571429 + -0.2857142857k + k2 = 0 Move the constant term to the right: Add '-3.428571429' to each side of the equation. 3.428571429 + -0.2857142857k + -3.428571429 + k2 = 0 + -3.428571429 Reorder the terms: 3.428571429 + -3.428571429 + -0.2857142857k + k2 = 0 + -3.428571429 Combine like terms: 3.428571429 + -3.428571429 = 0.000000000 0.000000000 + -0.2857142857k + k2 = 0 + -3.428571429 -0.2857142857k + k2 = 0 + -3.428571429 Combine like terms: 0 + -3.428571429 = -3.428571429 -0.2857142857k + k2 = -3.428571429 The k term is -0.2857142857k. Take half its coefficient (-0.1428571429). Square it (0.02040816328) and add it to both sides. Add '0.02040816328' to each side of the equation. -0.2857142857k + 0.02040816328 + k2 = -3.428571429 + 0.02040816328 Reorder the terms: 0.02040816328 + -0.2857142857k + k2 = -3.428571429 + 0.02040816328 Combine like terms: -3.428571429 + 0.02040816328 = -3.40816326572 0.02040816328 + -0.2857142857k + k2 = -3.40816326572 Factor a perfect square on the left side: (k + -0.1428571429)(k + -0.1428571429) = -3.40816326572 Can't calculate square root of the right side. The solution to this equation could not be determined.
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