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Simplifying x2 + -4x + 8 + -2k = 0 Reorder the terms: 8 + -2k + -4x + x2 = 0 Solving 8 + -2k + -4x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -2k + -4x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -2k + -4x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2k + -4x + x2 = 0 + -8 -2k + -4x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -2k + -4x + x2 = -8 Add '4x' to each side of the equation. -2k + -4x + 4x + x2 = -8 + 4x Combine like terms: -4x + 4x = 0 -2k + 0 + x2 = -8 + 4x -2k + x2 = -8 + 4x Add '-1x2' to each side of the equation. -2k + x2 + -1x2 = -8 + 4x + -1x2 Combine like terms: x2 + -1x2 = 0 -2k + 0 = -8 + 4x + -1x2 -2k = -8 + 4x + -1x2 Divide each side by '-2'. k = 4 + -2x + 0.5x2 Simplifying k = 4 + -2x + 0.5x2
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