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Simplifying 4x2 + 9Y2 + -16X + -36Y + -16 = 0 Reorder the terms: -16 + -16X + -36Y + 9Y2 + 4x2 = 0 Solving -16 + -16X + -36Y + 9Y2 + 4x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -16X + -36Y + 9Y2 + 16 + 4x2 = 0 + 16 Reorder the terms: -16 + 16 + -16X + -36Y + 9Y2 + 4x2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -16X + -36Y + 9Y2 + 4x2 = 0 + 16 -16X + -36Y + 9Y2 + 4x2 = 0 + 16 Combine like terms: 0 + 16 = 16 -16X + -36Y + 9Y2 + 4x2 = 16 Add '36Y' to each side of the equation. -16X + -36Y + 9Y2 + 36Y + 4x2 = 16 + 36Y Reorder the terms: -16X + -36Y + 36Y + 9Y2 + 4x2 = 16 + 36Y Combine like terms: -36Y + 36Y = 0 -16X + 0 + 9Y2 + 4x2 = 16 + 36Y -16X + 9Y2 + 4x2 = 16 + 36Y Add '-9Y2' to each side of the equation. -16X + 9Y2 + -9Y2 + 4x2 = 16 + 36Y + -9Y2 Combine like terms: 9Y2 + -9Y2 = 0 -16X + 0 + 4x2 = 16 + 36Y + -9Y2 -16X + 4x2 = 16 + 36Y + -9Y2 Add '-4x2' to each side of the equation. -16X + 4x2 + -4x2 = 16 + 36Y + -9Y2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -16X + 0 = 16 + 36Y + -9Y2 + -4x2 -16X = 16 + 36Y + -9Y2 + -4x2 Divide each side by '-16'. X = -1 + -2.25Y + 0.5625Y2 + 0.25x2 Simplifying X = -1 + -2.25Y + 0.5625Y2 + 0.25x2
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