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Simplifying x2 + -4x + -1k + 2 = k Reorder the terms: 2 + -1k + -4x + x2 = k Solving 2 + -1k + -4x + x2 = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 2 + -1k + -4x + -1k + x2 = k + -1k Reorder the terms: 2 + -1k + -1k + -4x + x2 = k + -1k Combine like terms: -1k + -1k = -2k 2 + -2k + -4x + x2 = k + -1k Combine like terms: k + -1k = 0 2 + -2k + -4x + x2 = 0 Add '-2' to each side of the equation. 2 + -2k + -4x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -2k + -4x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2k + -4x + x2 = 0 + -2 -2k + -4x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2k + -4x + x2 = -2 Add '4x' to each side of the equation. -2k + -4x + 4x + x2 = -2 + 4x Combine like terms: -4x + 4x = 0 -2k + 0 + x2 = -2 + 4x -2k + x2 = -2 + 4x Add '-1x2' to each side of the equation. -2k + x2 + -1x2 = -2 + 4x + -1x2 Combine like terms: x2 + -1x2 = 0 -2k + 0 = -2 + 4x + -1x2 -2k = -2 + 4x + -1x2 Divide each side by '-2'. k = 1 + -2x + 0.5x2 Simplifying k = 1 + -2x + 0.5x2
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