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Simplifying x2 + y2 + -1kx + -8y + -2k = 0 Reorder the terms: -2k + -1kx + x2 + -8y + y2 = 0 Solving -2k + -1kx + x2 + -8y + y2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1x2' to each side of the equation. -2k + -1kx + x2 + -8y + -1x2 + y2 = 0 + -1x2 Reorder the terms: -2k + -1kx + x2 + -1x2 + -8y + y2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 -2k + -1kx + 0 + -8y + y2 = 0 + -1x2 -2k + -1kx + -8y + y2 = 0 + -1x2 Remove the zero: -2k + -1kx + -8y + y2 = -1x2 Add '8y' to each side of the equation. -2k + -1kx + -8y + 8y + y2 = -1x2 + 8y Combine like terms: -8y + 8y = 0 -2k + -1kx + 0 + y2 = -1x2 + 8y -2k + -1kx + y2 = -1x2 + 8y Add '-1y2' to each side of the equation. -2k + -1kx + y2 + -1y2 = -1x2 + 8y + -1y2 Combine like terms: y2 + -1y2 = 0 -2k + -1kx + 0 = -1x2 + 8y + -1y2 -2k + -1kx = -1x2 + 8y + -1y2 Reorder the terms: -2k + -1kx + x2 + -8y + y2 = -1x2 + x2 + 8y + -8y + -1y2 + y2 Combine like terms: -1x2 + x2 = 0 -2k + -1kx + x2 + -8y + y2 = 0 + 8y + -8y + -1y2 + y2 -2k + -1kx + x2 + -8y + y2 = 8y + -8y + -1y2 + y2 Combine like terms: 8y + -8y = 0 -2k + -1kx + x2 + -8y + y2 = 0 + -1y2 + y2 -2k + -1kx + x2 + -8y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -2k + -1kx + x2 + -8y + y2 = 0 The solution to this equation could not be determined.
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