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