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Simplifying ydx + -1(x + sqrt(xy)) = 0 Multiply qrst * xy dxy + -1(x + qrstxy) = 0 Reorder the terms: dxy + -1(qrstxy + x) = 0 dxy + (qrstxy * -1 + x * -1) = 0 dxy + (-1qrstxy + -1x) = 0 Solving dxy + -1qrstxy + -1x = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'qrstxy' to each side of the equation. dxy + -1qrstxy + qrstxy + -1x = 0 + qrstxy Combine like terms: -1qrstxy + qrstxy = 0 dxy + 0 + -1x = 0 + qrstxy dxy + -1x = 0 + qrstxy Remove the zero: dxy + -1x = qrstxy Add 'x' to each side of the equation. dxy + -1x + x = qrstxy + x Combine like terms: -1x + x = 0 dxy + 0 = qrstxy + x dxy = qrstxy + x Divide each side by 'xy'. d = qrst + y-1 Simplifying d = qrst + y-1
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