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Simplifying x2 + -6x + 2k + -5 = 0 Reorder the terms: -5 + 2k + -6x + x2 = 0 Solving -5 + 2k + -6x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 2k + -6x + 5 + x2 = 0 + 5 Reorder the terms: -5 + 5 + 2k + -6x + x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2k + -6x + x2 = 0 + 5 2k + -6x + x2 = 0 + 5 Combine like terms: 0 + 5 = 5 2k + -6x + x2 = 5 Add '6x' to each side of the equation. 2k + -6x + 6x + x2 = 5 + 6x Combine like terms: -6x + 6x = 0 2k + 0 + x2 = 5 + 6x 2k + x2 = 5 + 6x Add '-1x2' to each side of the equation. 2k + x2 + -1x2 = 5 + 6x + -1x2 Combine like terms: x2 + -1x2 = 0 2k + 0 = 5 + 6x + -1x2 2k = 5 + 6x + -1x2 Divide each side by '2'. k = 2.5 + 3x + -0.5x2 Simplifying k = 2.5 + 3x + -0.5x2
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