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Simplifying Y(sqrt(1 + x2)) * dx + x(sqrt(1 + y2)) = 0 Y((1 * qrst + x2 * qrst)) * dx + x(sqrt(1 + y2)) = 0 Y((1qrst + qrstx2)) * dx + x(sqrt(1 + y2)) = 0 Reorder the terms for easier multiplication: Y * dx(1qrst + qrstx2) + x(sqrt(1 + y2)) = 0 Multiply Y * dx dxY(1qrst + qrstx2) + x(sqrt(1 + y2)) = 0 (1qrst * dxY + qrstx2 * dxY) + x(sqrt(1 + y2)) = 0 (1dqrstxY + dqrstx3Y) + x(sqrt(1 + y2)) = 0 1dqrstxY + dqrstx3Y + x((1 * qrst + y2 * qrst)) = 0 1dqrstxY + dqrstx3Y + x((1qrst + qrsty2)) = 0 1dqrstxY + dqrstx3Y + (1qrst * x + qrsty2 * x) = 0 1dqrstxY + dqrstx3Y + (1qrstx + qrstxy2) = 0 Solving 1dqrstxY + dqrstx3Y + 1qrstx + qrstxy2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1qrstx' to each side of the equation. 1dqrstxY + dqrstx3Y + 1qrstx + -1qrstx + qrstxy2 = 0 + -1qrstx Combine like terms: 1qrstx + -1qrstx = 0 1dqrstxY + dqrstx3Y + 0 + qrstxy2 = 0 + -1qrstx 1dqrstxY + dqrstx3Y + qrstxy2 = 0 + -1qrstx Remove the zero: 1dqrstxY + dqrstx3Y + qrstxy2 = -1qrstx Add '-1qrstxy2' to each side of the equation. 1dqrstxY + dqrstx3Y + qrstxy2 + -1qrstxy2 = -1qrstx + -1qrstxy2 Combine like terms: qrstxy2 + -1qrstxy2 = 0 1dqrstxY + dqrstx3Y + 0 = -1qrstx + -1qrstxy2 1dqrstxY + dqrstx3Y = -1qrstx + -1qrstxy2 Reorder the terms: 1dqrstxY + dqrstx3Y + qrstx + qrstxy2 = -1qrstx + qrstx + -1qrstxy2 + qrstxy2 Combine like terms: -1qrstx + qrstx = 0 1dqrstxY + dqrstx3Y + qrstx + qrstxy2 = 0 + -1qrstxy2 + qrstxy2 1dqrstxY + dqrstx3Y + qrstx + qrstxy2 = -1qrstxy2 + qrstxy2 Combine like terms: -1qrstxy2 + qrstxy2 = 0 1dqrstxY + dqrstx3Y + qrstx + qrstxy2 = 0 Factor out the Greatest Common Factor (GCF), 'qrstx'. qrstx(dY + dx2Y + 1 + y2) = 0Subproblem 1
Set the factor 'qrstx' equal to zero and attempt to solve: Simplifying qrstx = 0 Solving qrstx = 0 Move all terms containing d to the left, all other terms to the right. Add '-1qrstx' to each side of the equation. qrstx + -1qrstx = 0 + -1qrstx Remove the zero: 0 = -1qrstx Simplifying 0 = -1qrstx 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 '(dY + dx2Y + 1 + y2)' equal to zero and attempt to solve: Simplifying dY + dx2Y + 1 + y2 = 0 Reorder the terms: 1 + dY + dx2Y + y2 = 0 Solving 1 + dY + dx2Y + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + dY + dx2Y + -1 + y2 = 0 + -1 Reorder the terms: 1 + -1 + dY + dx2Y + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + dY + dx2Y + y2 = 0 + -1 dY + dx2Y + y2 = 0 + -1 Combine like terms: 0 + -1 = -1 dY + dx2Y + y2 = -1 Add '-1y2' to each side of the equation. dY + dx2Y + y2 + -1y2 = -1 + -1y2 Combine like terms: y2 + -1y2 = 0 dY + dx2Y + 0 = -1 + -1y2 dY + dx2Y = -1 + -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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