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Simplifying kx2 + (k + 1) * x + -1(k + 2) = 0 Reorder the terms: kx2 + (1 + k) * x + -1(k + 2) = 0 Reorder the terms for easier multiplication: kx2 + x(1 + k) + -1(k + 2) = 0 kx2 + (1 * x + k * x) + -1(k + 2) = 0 Reorder the terms: kx2 + (kx + 1x) + -1(k + 2) = 0 kx2 + (kx + 1x) + -1(k + 2) = 0 Reorder the terms: kx2 + kx + 1x + -1(2 + k) = 0 kx2 + kx + 1x + (2 * -1 + k * -1) = 0 kx2 + kx + 1x + (-2 + -1k) = 0 Reorder the terms: -2 + -1k + kx + kx2 + 1x = 0 Solving -2 + -1k + kx + kx2 + 1x = 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 + -1k + kx + kx2 + 2 + 1x = 0 + 2 Reorder the terms: -2 + 2 + -1k + kx + kx2 + 1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1k + kx + kx2 + 1x = 0 + 2 -1k + kx + kx2 + 1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1k + kx + kx2 + 1x = 2 Add '-1x' to each side of the equation. -1k + kx + kx2 + 1x + -1x = 2 + -1x Combine like terms: 1x + -1x = 0 -1k + kx + kx2 + 0 = 2 + -1x -1k + kx + kx2 = 2 + -1x Reorder the terms: -2 + -1k + kx + kx2 + x = 2 + -1x + -2 + x Reorder the terms: -2 + -1k + kx + kx2 + x = 2 + -2 + -1x + x Combine like terms: 2 + -2 = 0 -2 + -1k + kx + kx2 + x = 0 + -1x + x -2 + -1k + kx + kx2 + x = -1x + x Combine like terms: -1x + x = 0 -2 + -1k + kx + kx2 + x = 0 The solution to this equation could not be determined.
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