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Simplifying 7x2 + -4sqrt(3) * xy + 3y2 + -9 = 0 Reorder the terms for easier multiplication: 7x2 + -4 * 3qrst * xy + 3y2 + -9 = 0 Multiply -4 * 3 7x2 + -12qrst * xy + 3y2 + -9 = 0 Multiply qrst * xy 7x2 + -12qrstxy + 3y2 + -9 = 0 Reorder the terms: -9 + -12qrstxy + 7x2 + 3y2 = 0 Solving -9 + -12qrstxy + 7x2 + 3y2 = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -12qrstxy + 7x2 + 9 + 3y2 = 0 + 9 Reorder the terms: -9 + 9 + -12qrstxy + 7x2 + 3y2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -12qrstxy + 7x2 + 3y2 = 0 + 9 -12qrstxy + 7x2 + 3y2 = 0 + 9 Combine like terms: 0 + 9 = 9 -12qrstxy + 7x2 + 3y2 = 9 Add '-7x2' to each side of the equation. -12qrstxy + 7x2 + -7x2 + 3y2 = 9 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -12qrstxy + 0 + 3y2 = 9 + -7x2 -12qrstxy + 3y2 = 9 + -7x2 Add '-3y2' to each side of the equation. -12qrstxy + 3y2 + -3y2 = 9 + -7x2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 -12qrstxy + 0 = 9 + -7x2 + -3y2 -12qrstxy = 9 + -7x2 + -3y2 Divide each side by '-12rstxy'. q = -0.75r-1s-1t-1x-1y-1 + 0.5833333333r-1s-1t-1xy-1 + 0.25r-1s-1t-1x-1y Simplifying q = -0.75r-1s-1t-1x-1y-1 + 0.5833333333r-1s-1t-1xy-1 + 0.25r-1s-1t-1x-1y Reorder the terms: q = -0.75r-1s-1t-1x-1y-1 + 0.25r-1s-1t-1x-1y + 0.5833333333r-1s-1t-1xy-1
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