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Simplifying xdy + -1ydx = sqrt(x2 + y2) * dx Combine like terms: dxy + -1dxy = 0 0 = sqrt(x2 + y2) * dx Reorder the terms for easier multiplication: 0 = qrst * dx(x2 + y2) Multiply qrst * dx 0 = dqrstx(x2 + y2) 0 = (x2 * dqrstx + y2 * dqrstx) Reorder the terms: 0 = (dqrstxy2 + dqrstx3) 0 = (dqrstxy2 + dqrstx3) Solving 0 = dqrstxy2 + dqrstx3 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dqrstxy2' to each side of the equation. 0 + -1dqrstxy2 = dqrstxy2 + -1dqrstxy2 + dqrstx3 Remove the zero: -1dqrstxy2 = dqrstxy2 + -1dqrstxy2 + dqrstx3 Combine like terms: dqrstxy2 + -1dqrstxy2 = 0 -1dqrstxy2 = 0 + dqrstx3 -1dqrstxy2 = dqrstx3 Add '-1dqrstx3' to each side of the equation. -1dqrstxy2 + -1dqrstx3 = dqrstx3 + -1dqrstx3 Combine like terms: dqrstx3 + -1dqrstx3 = 0 -1dqrstxy2 + -1dqrstx3 = 0 Factor out the Greatest Common Factor (GCF), '-1dqrstx'. -1dqrstx(y2 + x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'dqrstx' equal to zero and attempt to solve: Simplifying dqrstx = 0 Solving dqrstx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dqrstx = 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 '(y2 + x2)' equal to zero and attempt to solve: Simplifying y2 + x2 = 0 Reorder the terms: x2 + y2 = 0 Solving x2 + y2 = 0 Move all terms containing d 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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