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Simplifying x2 + -2x + -8 + 2k = 0 Reorder the terms: -8 + 2k + -2x + x2 = 0 Solving -8 + 2k + -2x + 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 + -2x + 8 + x2 = 0 + 8 Reorder the terms: -8 + 8 + 2k + -2x + x2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2k + -2x + x2 = 0 + 8 2k + -2x + x2 = 0 + 8 Combine like terms: 0 + 8 = 8 2k + -2x + x2 = 8 Add '2x' to each side of the equation. 2k + -2x + 2x + x2 = 8 + 2x Combine like terms: -2x + 2x = 0 2k + 0 + x2 = 8 + 2x 2k + x2 = 8 + 2x Add '-1x2' to each side of the equation. 2k + x2 + -1x2 = 8 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 2k + 0 = 8 + 2x + -1x2 2k = 8 + 2x + -1x2 Divide each side by '2'. k = 4 + x + -0.5x2 Simplifying k = 4 + x + -0.5x2
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