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