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Simplifying (k + -2) * x2 + 4x + -2k + 1 = 0 Reorder the terms: (-2 + k) * x2 + 4x + -2k + 1 = 0 Reorder the terms for easier multiplication: x2(-2 + k) + 4x + -2k + 1 = 0 (-2 * x2 + k * x2) + 4x + -2k + 1 = 0 Reorder the terms: (kx2 + -2x2) + 4x + -2k + 1 = 0 (kx2 + -2x2) + 4x + -2k + 1 = 0 Reorder the terms: 1 + -2k + kx2 + 4x + -2x2 = 0 Solving 1 + -2k + kx2 + 4x + -2x2 = 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 + -2k + kx2 + 4x + -1 + -2x2 = 0 + -1 Reorder the terms: 1 + -1 + -2k + kx2 + 4x + -2x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2k + kx2 + 4x + -2x2 = 0 + -1 -2k + kx2 + 4x + -2x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -2k + kx2 + 4x + -2x2 = -1 Add '-4x' to each side of the equation. -2k + kx2 + 4x + -4x + -2x2 = -1 + -4x Combine like terms: 4x + -4x = 0 -2k + kx2 + 0 + -2x2 = -1 + -4x -2k + kx2 + -2x2 = -1 + -4x Add '2x2' to each side of the equation. -2k + kx2 + -2x2 + 2x2 = -1 + -4x + 2x2 Combine like terms: -2x2 + 2x2 = 0 -2k + kx2 + 0 = -1 + -4x + 2x2 -2k + kx2 = -1 + -4x + 2x2 Reorder the terms: 1 + -2k + kx2 + 4x + -2x2 = -1 + -4x + 2x2 + 1 + 4x + -2x2 Reorder the terms: 1 + -2k + kx2 + 4x + -2x2 = -1 + 1 + -4x + 4x + 2x2 + -2x2 Combine like terms: -1 + 1 = 0 1 + -2k + kx2 + 4x + -2x2 = 0 + -4x + 4x + 2x2 + -2x2 1 + -2k + kx2 + 4x + -2x2 = -4x + 4x + 2x2 + -2x2 Combine like terms: -4x + 4x = 0 1 + -2k + kx2 + 4x + -2x2 = 0 + 2x2 + -2x2 1 + -2k + kx2 + 4x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 1 + -2k + kx2 + 4x + -2x2 = 0 The solution to this equation could not be determined.
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