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Simplifying x2 + kx + (k + 3) = 0 Reorder the terms: x2 + kx + (3 + k) = 0 Remove parenthesis around (3 + k) x2 + kx + 3 + k = 0 Reorder the terms: 3 + k + kx + x2 = 0 Solving 3 + k + kx + 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 + k + kx + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + k + kx + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + k + kx + x2 = 0 + -3 k + kx + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 k + kx + x2 = -3 Add '-1x2' to each side of the equation. k + kx + x2 + -1x2 = -3 + -1x2 Combine like terms: x2 + -1x2 = 0 k + kx + 0 = -3 + -1x2 k + kx = -3 + -1x2 Reorder the terms: 3 + k + kx + x2 = -3 + -1x2 + 3 + x2 Reorder the terms: 3 + k + kx + x2 = -3 + 3 + -1x2 + x2 Combine like terms: -3 + 3 = 0 3 + k + kx + x2 = 0 + -1x2 + x2 3 + k + kx + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 3 + k + kx + x2 = 0 The solution to this equation could not be determined.
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