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Simplifying x2 + 2k + 9 = 0 Reorder the terms: 9 + 2k + x2 = 0 Solving 9 + 2k + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 2k + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + 2k + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2k + x2 = 0 + -9 2k + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 2k + x2 = -9 Add '-1x2' to each side of the equation. 2k + x2 + -1x2 = -9 + -1x2 Combine like terms: x2 + -1x2 = 0 2k + 0 = -9 + -1x2 2k = -9 + -1x2 Divide each side by '2'. k = -4.5 + -0.5x2 Simplifying k = -4.5 + -0.5x2
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