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Simplifying Y(1 + xy) * dx + x(1 + -1xy) = 0 Reorder the terms for easier multiplication: Y * dx(1 + xy) + x(1 + -1xy) = 0 Multiply Y * dx dxY(1 + xy) + x(1 + -1xy) = 0 (1 * dxY + xy * dxY) + x(1 + -1xy) = 0 (1dxY + dx2yY) + x(1 + -1xy) = 0 1dxY + dx2yY + (1 * x + -1xy * x) = 0 1dxY + dx2yY + (1x + -1x2y) = 0 Solving 1dxY + dx2yY + 1x + -1x2y = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. 1dxY + dx2yY + 1x + -1x + -1x2y = 0 + -1x Combine like terms: 1x + -1x = 0 1dxY + dx2yY + 0 + -1x2y = 0 + -1x 1dxY + dx2yY + -1x2y = 0 + -1x Remove the zero: 1dxY + dx2yY + -1x2y = -1x Add 'x2y' to each side of the equation. 1dxY + dx2yY + -1x2y + x2y = -1x + x2y Combine like terms: -1x2y + x2y = 0 1dxY + dx2yY + 0 = -1x + x2y 1dxY + dx2yY = -1x + x2y Reorder the terms: 1dxY + dx2yY + x + -1x2y = -1x + x + x2y + -1x2y Combine like terms: -1x + x = 0 1dxY + dx2yY + x + -1x2y = 0 + x2y + -1x2y 1dxY + dx2yY + x + -1x2y = x2y + -1x2y Combine like terms: x2y + -1x2y = 0 1dxY + dx2yY + x + -1x2y = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(dY + dxyY + 1 + -1xy) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 + dxyY + 1 + -1xy)' equal to zero and attempt to solve: Simplifying dY + dxyY + 1 + -1xy = 0 Reorder the terms: 1 + dY + dxyY + -1xy = 0 Solving 1 + dY + dxyY + -1xy = 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 + dxyY + -1 + -1xy = 0 + -1 Reorder the terms: 1 + -1 + dY + dxyY + -1xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + dY + dxyY + -1xy = 0 + -1 dY + dxyY + -1xy = 0 + -1 Combine like terms: 0 + -1 = -1 dY + dxyY + -1xy = -1 Add 'xy' to each side of the equation. dY + dxyY + -1xy + xy = -1 + xy Combine like terms: -1xy + xy = 0 dY + dxyY + 0 = -1 + xy dY + dxyY = -1 + xy 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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