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Simplifying x(2) + kx + (k + -1) = 0 Reorder the terms for easier multiplication: 2x + kx + (k + -1) = 0 Reorder the terms: 2x + kx + (-1 + k) = 0 Remove parenthesis around (-1 + k) 2x + kx + -1 + k = 0 Reorder the terms: -1 + k + kx + 2x = 0 Solving -1 + k + kx + 2x = 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 + 2x = 0 + 1 Reorder the terms: -1 + 1 + k + kx + 2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + k + kx + 2x = 0 + 1 k + kx + 2x = 0 + 1 Combine like terms: 0 + 1 = 1 k + kx + 2x = 1 Add '-2x' to each side of the equation. k + kx + 2x + -2x = 1 + -2x Combine like terms: 2x + -2x = 0 k + kx + 0 = 1 + -2x k + kx = 1 + -2x Reorder the terms: -1 + k + kx + 2x = 1 + -2x + -1 + 2x Reorder the terms: -1 + k + kx + 2x = 1 + -1 + -2x + 2x Combine like terms: 1 + -1 = 0 -1 + k + kx + 2x = 0 + -2x + 2x -1 + k + kx + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -1 + k + kx + 2x = 0 The solution to this equation could not be determined.
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