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Simplifying x2 + 3x + 2k = 0 Reorder the terms: 2k + 3x + x2 = 0 Solving 2k + 3x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3x' to each side of the equation. 2k + 3x + -3x + x2 = 0 + -3x Combine like terms: 3x + -3x = 0 2k + 0 + x2 = 0 + -3x 2k + x2 = 0 + -3x Remove the zero: 2k + x2 = -3x Add '-1x2' to each side of the equation. 2k + x2 + -1x2 = -3x + -1x2 Combine like terms: x2 + -1x2 = 0 2k + 0 = -3x + -1x2 2k = -3x + -1x2 Divide each side by '2'. k = -1.5x + -0.5x2 Simplifying k = -1.5x + -0.5x2
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