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Simplifying (1 + k2) * x2 + k2x + 2 + k2 = 0 Reorder the terms for easier multiplication: x2(1 + k2) + k2x + 2 + k2 = 0 (1 * x2 + k2 * x2) + k2x + 2 + k2 = 0 Reorder the terms: (k2x2 + 1x2) + k2x + 2 + k2 = 0 (k2x2 + 1x2) + k2x + 2 + k2 = 0 Reorder the terms: 2 + k2 + k2x + k2x2 + 1x2 = 0 Solving 2 + k2 + k2x + k2x2 + 1x2 = 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 + k2 + k2x + k2x2 + -2 + 1x2 = 0 + -2 Reorder the terms: 2 + -2 + k2 + k2x + k2x2 + 1x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + k2 + k2x + k2x2 + 1x2 = 0 + -2 k2 + k2x + k2x2 + 1x2 = 0 + -2 Combine like terms: 0 + -2 = -2 k2 + k2x + k2x2 + 1x2 = -2 Add '-1x2' to each side of the equation. k2 + k2x + k2x2 + 1x2 + -1x2 = -2 + -1x2 Combine like terms: 1x2 + -1x2 = 0 k2 + k2x + k2x2 + 0 = -2 + -1x2 k2 + k2x + k2x2 = -2 + -1x2 Reorder the terms: 2 + k2 + k2x + k2x2 + x2 = -2 + -1x2 + 2 + x2 Reorder the terms: 2 + k2 + k2x + k2x2 + x2 = -2 + 2 + -1x2 + x2 Combine like terms: -2 + 2 = 0 2 + k2 + k2x + k2x2 + x2 = 0 + -1x2 + x2 2 + k2 + k2x + k2x2 + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 2 + k2 + k2x + k2x2 + x2 = 0 The solution to this equation could not be determined.
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