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Simplifying xdy + -1ydx = sqrt(x2 + y2) Combine like terms: dxy + -1dxy = 0 0 = sqrt(x2 + y2) 0 = (x2 * qrst + y2 * qrst) 0 = (qrstx2 + qrsty2) Solving 0 = qrstx2 + qrsty2 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1qrstx2' to each side of the equation. 0 + -1qrstx2 = qrstx2 + -1qrstx2 + qrsty2 Remove the zero: -1qrstx2 = qrstx2 + -1qrstx2 + qrsty2 Combine like terms: qrstx2 + -1qrstx2 = 0 -1qrstx2 = 0 + qrsty2 -1qrstx2 = qrsty2 Add '-1qrsty2' to each side of the equation. -1qrstx2 + -1qrsty2 = qrsty2 + -1qrsty2 Combine like terms: qrsty2 + -1qrsty2 = 0 -1qrstx2 + -1qrsty2 = 0 Factor out the Greatest Common Factor (GCF), '-1qrst'. -1qrst(x2 + y2) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'qrst' equal to zero and attempt to solve: Simplifying qrst = 0 Solving qrst = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qrst = 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 '(x2 + y2)' equal to zero and attempt to solve: Simplifying x2 + y2 = 0 Solving x2 + y2 = 0 Move all terms containing q to the left, all other terms to the right. Add '-1x2' to each side of the equation. x2 + -1x2 + y2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + y2 = 0 + -1x2 y2 = 0 + -1x2 Remove the zero: y2 = -1x2 Add '-1y2' to each side of the equation. y2 + -1y2 = -1x2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -1x2 + -1y2 Simplifying 0 = -1x2 + -1y2 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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