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Simplifying Kx2 + -20x + 6k + 1 = 0 Reorder the terms: 1 + 6k + -20x + x2K = 0 Solving 1 + 6k + -20x + x2K = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 6k + -20x + -1 + x2K = 0 + -1 Reorder the terms: 1 + -1 + 6k + -20x + x2K = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6k + -20x + x2K = 0 + -1 6k + -20x + x2K = 0 + -1 Combine like terms: 0 + -1 = -1 6k + -20x + x2K = -1 Add '20x' to each side of the equation. 6k + -20x + 20x + x2K = -1 + 20x Combine like terms: -20x + 20x = 0 6k + 0 + x2K = -1 + 20x 6k + x2K = -1 + 20x Add '-1x2K' to each side of the equation. 6k + x2K + -1x2K = -1 + 20x + -1x2K Combine like terms: x2K + -1x2K = 0 6k + 0 = -1 + 20x + -1x2K 6k = -1 + 20x + -1x2K Divide each side by '6'. k = -0.1666666667 + 3.333333333x + -0.1666666667x2K Simplifying k = -0.1666666667 + 3.333333333x + -0.1666666667x2K
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