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Simplifying 49x2 + kxy + 4y2 = 0 Reorder the terms: kxy + 49x2 + 4y2 = 0 Solving kxy + 49x2 + 4y2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-49x2' to each side of the equation. kxy + 49x2 + -49x2 + 4y2 = 0 + -49x2 Combine like terms: 49x2 + -49x2 = 0 kxy + 0 + 4y2 = 0 + -49x2 kxy + 4y2 = 0 + -49x2 Remove the zero: kxy + 4y2 = -49x2 Add '-4y2' to each side of the equation. kxy + 4y2 + -4y2 = -49x2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 kxy + 0 = -49x2 + -4y2 kxy = -49x2 + -4y2 Divide each side by 'xy'. k = -49xy-1 + -4x-1y Simplifying k = -49xy-1 + -4x-1y Reorder the terms: k = -4x-1y + -49xy-1
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