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Simplifying x2 + 2y2 + -2sqrt(2) * xy + 2y = 0 Reorder the terms for easier multiplication: x2 + 2y2 + -2 * 2qrst * xy + 2y = 0 Multiply -2 * 2 x2 + 2y2 + -4qrst * xy + 2y = 0 Multiply qrst * xy x2 + 2y2 + -4qrstxy + 2y = 0 Reorder the terms: -4qrstxy + x2 + 2y + 2y2 = 0 Solving -4qrstxy + x2 + 2y + 2y2 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1x2' to each side of the equation. -4qrstxy + x2 + 2y + -1x2 + 2y2 = 0 + -1x2 Reorder the terms: -4qrstxy + x2 + -1x2 + 2y + 2y2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 -4qrstxy + 0 + 2y + 2y2 = 0 + -1x2 -4qrstxy + 2y + 2y2 = 0 + -1x2 Remove the zero: -4qrstxy + 2y + 2y2 = -1x2 Add '-2y' to each side of the equation. -4qrstxy + 2y + -2y + 2y2 = -1x2 + -2y Combine like terms: 2y + -2y = 0 -4qrstxy + 0 + 2y2 = -1x2 + -2y -4qrstxy + 2y2 = -1x2 + -2y Add '-2y2' to each side of the equation. -4qrstxy + 2y2 + -2y2 = -1x2 + -2y + -2y2 Combine like terms: 2y2 + -2y2 = 0 -4qrstxy + 0 = -1x2 + -2y + -2y2 -4qrstxy = -1x2 + -2y + -2y2 Divide each side by '-4rstxy'. q = 0.25r-1s-1t-1xy-1 + 0.5r-1s-1t-1x-1 + 0.5r-1s-1t-1x-1y Simplifying q = 0.25r-1s-1t-1xy-1 + 0.5r-1s-1t-1x-1 + 0.5r-1s-1t-1x-1y Reorder the terms: q = 0.5r-1s-1t-1x-1 + 0.5r-1s-1t-1x-1y + 0.25r-1s-1t-1xy-1
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