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Simplifying x2 + y2 + -2kx + y + -4 = 0 Reorder the terms: -4 + -2kx + x2 + y + y2 = 0 Solving -4 + -2kx + x2 + y + 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 + -2kx + x2 + y + 4 + y2 = 0 + 4 Reorder the terms: -4 + 4 + -2kx + x2 + y + y2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -2kx + x2 + y + y2 = 0 + 4 -2kx + x2 + y + y2 = 0 + 4 Combine like terms: 0 + 4 = 4 -2kx + x2 + y + y2 = 4 Add '-1x2' to each side of the equation. -2kx + x2 + y + -1x2 + y2 = 4 + -1x2 Reorder the terms: -2kx + x2 + -1x2 + y + y2 = 4 + -1x2 Combine like terms: x2 + -1x2 = 0 -2kx + 0 + y + y2 = 4 + -1x2 -2kx + y + y2 = 4 + -1x2 Add '-1y' to each side of the equation. -2kx + y + -1y + y2 = 4 + -1x2 + -1y Combine like terms: y + -1y = 0 -2kx + 0 + y2 = 4 + -1x2 + -1y -2kx + y2 = 4 + -1x2 + -1y Add '-1y2' to each side of the equation. -2kx + y2 + -1y2 = 4 + -1x2 + -1y + -1y2 Combine like terms: y2 + -1y2 = 0 -2kx + 0 = 4 + -1x2 + -1y + -1y2 -2kx = 4 + -1x2 + -1y + -1y2 Divide each side by '-2x'. k = -2x-1 + 0.5x + 0.5x-1y + 0.5x-1y2 Simplifying k = -2x-1 + 0.5x + 0.5x-1y + 0.5x-1y2 Reorder the terms: k = -2x-1 + 0.5x-1y + 0.5x-1y2 + 0.5x
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