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Simplifying x2 + -6x + 13 + -1k = 0 Reorder the terms: 13 + -1k + -6x + x2 = 0 Solving 13 + -1k + -6x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -1k + -6x + -13 + x2 = 0 + -13 Reorder the terms: 13 + -13 + -1k + -6x + x2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1k + -6x + x2 = 0 + -13 -1k + -6x + x2 = 0 + -13 Combine like terms: 0 + -13 = -13 -1k + -6x + x2 = -13 Add '6x' to each side of the equation. -1k + -6x + 6x + x2 = -13 + 6x Combine like terms: -6x + 6x = 0 -1k + 0 + x2 = -13 + 6x -1k + x2 = -13 + 6x Add '-1x2' to each side of the equation. -1k + x2 + -1x2 = -13 + 6x + -1x2 Combine like terms: x2 + -1x2 = 0 -1k + 0 = -13 + 6x + -1x2 -1k = -13 + 6x + -1x2 Divide each side by '-1'. k = 13 + -6x + x2 Simplifying k = 13 + -6x + x2
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