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Simplifying x2 + kx + (k + 1) = 0 Reorder the terms: x2 + kx + (1 + k) = 0 Remove parenthesis around (1 + k) x2 + kx + 1 + k = 0 Reorder the terms: 1 + k + kx + x2 = 0 Solving 1 + k + kx + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + k + kx + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + k + kx + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + k + kx + x2 = 0 + -1 k + kx + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 k + kx + x2 = -1 Add '-1x2' to each side of the equation. k + kx + x2 + -1x2 = -1 + -1x2 Combine like terms: x2 + -1x2 = 0 k + kx + 0 = -1 + -1x2 k + kx = -1 + -1x2 Reorder the terms: 1 + k + kx + x2 = -1 + -1x2 + 1 + x2 Reorder the terms: 1 + k + kx + x2 = -1 + 1 + -1x2 + x2 Combine like terms: -1 + 1 = 0 1 + k + kx + x2 = 0 + -1x2 + x2 1 + k + kx + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 1 + k + kx + x2 = 0 The solution to this equation could not be determined.
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