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Simplifying x2 + y2 + kx + (k + -2) * y + -7 + -1k = 0 Reorder the terms: x2 + y2 + kx + (-2 + k) * y + -7 + -1k = 0 Reorder the terms for easier multiplication: x2 + y2 + kx + y(-2 + k) + -7 + -1k = 0 x2 + y2 + kx + (-2 * y + k * y) + -7 + -1k = 0 Reorder the terms: x2 + y2 + kx + (ky + -2y) + -7 + -1k = 0 x2 + y2 + kx + (ky + -2y) + -7 + -1k = 0 Reorder the terms: -7 + -1k + kx + ky + x2 + -2y + y2 = 0 Solving -7 + -1k + kx + ky + x2 + -2y + y2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -1k + kx + ky + x2 + -2y + 7 + y2 = 0 + 7 Reorder the terms: -7 + 7 + -1k + kx + ky + x2 + -2y + y2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1k + kx + ky + x2 + -2y + y2 = 0 + 7 -1k + kx + ky + x2 + -2y + y2 = 0 + 7 Combine like terms: 0 + 7 = 7 -1k + kx + ky + x2 + -2y + y2 = 7 Add '-1x2' to each side of the equation. -1k + kx + ky + x2 + -2y + -1x2 + y2 = 7 + -1x2 Reorder the terms: -1k + kx + ky + x2 + -1x2 + -2y + y2 = 7 + -1x2 Combine like terms: x2 + -1x2 = 0 -1k + kx + ky + 0 + -2y + y2 = 7 + -1x2 -1k + kx + ky + -2y + y2 = 7 + -1x2 Add '2y' to each side of the equation. -1k + kx + ky + -2y + 2y + y2 = 7 + -1x2 + 2y Combine like terms: -2y + 2y = 0 -1k + kx + ky + 0 + y2 = 7 + -1x2 + 2y -1k + kx + ky + y2 = 7 + -1x2 + 2y Add '-1y2' to each side of the equation. -1k + kx + ky + y2 + -1y2 = 7 + -1x2 + 2y + -1y2 Combine like terms: y2 + -1y2 = 0 -1k + kx + ky + 0 = 7 + -1x2 + 2y + -1y2 -1k + kx + ky = 7 + -1x2 + 2y + -1y2 Reorder the terms: -7 + -1k + kx + ky + x2 + -2y + y2 = 7 + -1x2 + 2y + -1y2 + -7 + x2 + -2y + y2 Reorder the terms: -7 + -1k + kx + ky + x2 + -2y + y2 = 7 + -7 + -1x2 + x2 + 2y + -2y + -1y2 + y2 Combine like terms: 7 + -7 = 0 -7 + -1k + kx + ky + x2 + -2y + y2 = 0 + -1x2 + x2 + 2y + -2y + -1y2 + y2 -7 + -1k + kx + ky + x2 + -2y + y2 = -1x2 + x2 + 2y + -2y + -1y2 + y2 Combine like terms: -1x2 + x2 = 0 -7 + -1k + kx + ky + x2 + -2y + y2 = 0 + 2y + -2y + -1y2 + y2 -7 + -1k + kx + ky + x2 + -2y + y2 = 2y + -2y + -1y2 + y2 Combine like terms: 2y + -2y = 0 -7 + -1k + kx + ky + x2 + -2y + y2 = 0 + -1y2 + y2 -7 + -1k + kx + ky + x2 + -2y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -7 + -1k + kx + ky + x2 + -2y + y2 = 0 The solution to this equation could not be determined.
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