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Simplifying x2 + y2 + (k + -2) * x + -2ky + -1k + -4 = 0 Reorder the terms: x2 + y2 + (-2 + k) * x + -2ky + -1k + -4 = 0 Reorder the terms for easier multiplication: x2 + y2 + x(-2 + k) + -2ky + -1k + -4 = 0 x2 + y2 + (-2 * x + k * x) + -2ky + -1k + -4 = 0 Reorder the terms: x2 + y2 + (kx + -2x) + -2ky + -1k + -4 = 0 x2 + y2 + (kx + -2x) + -2ky + -1k + -4 = 0 Reorder the terms: -4 + -1k + kx + -2ky + -2x + x2 + y2 = 0 Solving -4 + -1k + kx + -2ky + -2x + x2 + y2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -1k + kx + -2ky + -2x + x2 + 4 + y2 = 0 + 4 Reorder the terms: -4 + 4 + -1k + kx + -2ky + -2x + x2 + y2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1k + kx + -2ky + -2x + x2 + y2 = 0 + 4 -1k + kx + -2ky + -2x + x2 + y2 = 0 + 4 Combine like terms: 0 + 4 = 4 -1k + kx + -2ky + -2x + x2 + y2 = 4 Add '2x' to each side of the equation. -1k + kx + -2ky + -2x + x2 + 2x + y2 = 4 + 2x Reorder the terms: -1k + kx + -2ky + -2x + 2x + x2 + y2 = 4 + 2x Combine like terms: -2x + 2x = 0 -1k + kx + -2ky + 0 + x2 + y2 = 4 + 2x -1k + kx + -2ky + x2 + y2 = 4 + 2x Add '-1x2' to each side of the equation. -1k + kx + -2ky + x2 + -1x2 + y2 = 4 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 -1k + kx + -2ky + 0 + y2 = 4 + 2x + -1x2 -1k + kx + -2ky + y2 = 4 + 2x + -1x2 Add '-1y2' to each side of the equation. -1k + kx + -2ky + y2 + -1y2 = 4 + 2x + -1x2 + -1y2 Combine like terms: y2 + -1y2 = 0 -1k + kx + -2ky + 0 = 4 + 2x + -1x2 + -1y2 -1k + kx + -2ky = 4 + 2x + -1x2 + -1y2 Reorder the terms: -4 + -1k + kx + -2ky + -2x + x2 + y2 = 4 + 2x + -1x2 + -1y2 + -4 + -2x + x2 + y2 Reorder the terms: -4 + -1k + kx + -2ky + -2x + x2 + y2 = 4 + -4 + 2x + -2x + -1x2 + x2 + -1y2 + y2 Combine like terms: 4 + -4 = 0 -4 + -1k + kx + -2ky + -2x + x2 + y2 = 0 + 2x + -2x + -1x2 + x2 + -1y2 + y2 -4 + -1k + kx + -2ky + -2x + x2 + y2 = 2x + -2x + -1x2 + x2 + -1y2 + y2 Combine like terms: 2x + -2x = 0 -4 + -1k + kx + -2ky + -2x + x2 + y2 = 0 + -1x2 + x2 + -1y2 + y2 -4 + -1k + kx + -2ky + -2x + x2 + y2 = -1x2 + x2 + -1y2 + y2 Combine like terms: -1x2 + x2 = 0 -4 + -1k + kx + -2ky + -2x + x2 + y2 = 0 + -1y2 + y2 -4 + -1k + kx + -2ky + -2x + x2 + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -4 + -1k + kx + -2ky + -2x + x2 + y2 = 0 The solution to this equation could not be determined.
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