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Simplifying ydx + (sqrt(xy) + -1sqrt(x)) * dy = 0 Multiply qrst * xy dxy + (qrstxy + -1sqrt(x)) * dy = 0 Multiply qrst * x dxy + (qrstxy + -1qrstx) * dy = 0 Reorder the terms: dxy + (-1qrstx + qrstxy) * dy = 0 Reorder the terms for easier multiplication: dxy + dy(-1qrstx + qrstxy) = 0 dxy + (-1qrstx * dy + qrstxy * dy) = 0 dxy + (-1dqrstxy + dqrstxy2) = 0 Reorder the terms: -1dqrstxy + dqrstxy2 + dxy = 0 Solving -1dqrstxy + dqrstxy2 + dxy = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'dxy'. dxy(-1qrst + qrsty + 1) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1qrst + qrsty + 1)' equal to zero and attempt to solve: Simplifying -1qrst + qrsty + 1 = 0 Reorder the terms: 1 + -1qrst + qrsty = 0 Solving 1 + -1qrst + qrsty = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1qrst + -1 + qrsty = 0 + -1 Reorder the terms: 1 + -1 + -1qrst + qrsty = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1qrst + qrsty = 0 + -1 -1qrst + qrsty = 0 + -1 Combine like terms: 0 + -1 = -1 -1qrst + qrsty = -1 Add 'qrst' to each side of the equation. -1qrst + qrst + qrsty = -1 + qrst Combine like terms: -1qrst + qrst = 0 0 + qrsty = -1 + qrst qrsty = -1 + qrst Add '-1qrsty' to each side of the equation. qrsty + -1qrsty = -1 + qrst + -1qrsty Combine like terms: qrsty + -1qrsty = 0 0 = -1 + qrst + -1qrsty Simplifying 0 = -1 + qrst + -1qrsty The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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