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Simplifying x2 + y2 + -1(4k + 3) * y = 0 Reorder the terms: x2 + y2 + -1(3 + 4k) * y = 0 Reorder the terms for easier multiplication: x2 + y2 + -1y(3 + 4k) = 0 x2 + y2 + (3 * -1y + 4k * -1y) = 0 Reorder the terms: x2 + y2 + (-4ky + -3y) = 0 x2 + y2 + (-4ky + -3y) = 0 Reorder the terms: -4ky + x2 + -3y + y2 = 0 Solving -4ky + x2 + -3y + 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. -4ky + x2 + -3y + -1x2 + y2 = 0 + -1x2 Reorder the terms: -4ky + x2 + -1x2 + -3y + y2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 -4ky + 0 + -3y + y2 = 0 + -1x2 -4ky + -3y + y2 = 0 + -1x2 Remove the zero: -4ky + -3y + y2 = -1x2 Add '3y' to each side of the equation. -4ky + -3y + 3y + y2 = -1x2 + 3y Combine like terms: -3y + 3y = 0 -4ky + 0 + y2 = -1x2 + 3y -4ky + y2 = -1x2 + 3y Add '-1y2' to each side of the equation. -4ky + y2 + -1y2 = -1x2 + 3y + -1y2 Combine like terms: y2 + -1y2 = 0 -4ky + 0 = -1x2 + 3y + -1y2 -4ky = -1x2 + 3y + -1y2 Divide each side by '-4y'. k = 0.25x2y-1 + -0.75 + 0.25y Simplifying k = 0.25x2y-1 + -0.75 + 0.25y Reorder the terms: k = -0.75 + 0.25x2y-1 + 0.25y
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