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