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Simplifying (x(y2) + -1y2) * dx + -1((x2) * y + x2) * dy = 0 Multiply x * y2 (xy2 + -1y2) * dx + -1((x2) * y + x2) * dy = 0 Reorder the terms for easier multiplication: dx(xy2 + -1y2) + -1((x2) * y + x2) * dy = 0 (xy2 * dx + -1y2 * dx) + -1((x2) * y + x2) * dy = 0 Reorder the terms: (-1dxy2 + dx2y2) + -1((x2) * y + x2) * dy = 0 (-1dxy2 + dx2y2) + -1((x2) * y + x2) * dy = 0 Multiply x2 * y -1dxy2 + dx2y2 + -1(x2y + x2) * dy = 0 Reorder the terms: -1dxy2 + dx2y2 + -1(x2 + x2y) * dy = 0 Reorder the terms for easier multiplication: -1dxy2 + dx2y2 + -1dy(x2 + x2y) = 0 -1dxy2 + dx2y2 + (x2 * -1dy + x2y * -1dy) = 0 -1dxy2 + dx2y2 + (-1dx2y + -1dx2y2) = 0 Reorder the terms: -1dxy2 + -1dx2y + dx2y2 + -1dx2y2 = 0 Combine like terms: dx2y2 + -1dx2y2 = 0 -1dxy2 + -1dx2y + 0 = 0 -1dxy2 + -1dx2y = 0 Solving -1dxy2 + -1dx2y = 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), '-1dxy'. -1dxy(y + x) = 0 Ignore the factor -1.Subproblem 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 '(y + x)' equal to zero and attempt to solve: Simplifying y + x = 0 Reorder the terms: x + y = 0 Solving x + y = 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 + y = 0 + -1x Combine like terms: x + -1x = 0 0 + y = 0 + -1x y = 0 + -1x Remove the zero: y = -1x Add '-1y' to each side of the equation. y + -1y = -1x + -1y Combine like terms: y + -1y = 0 0 = -1x + -1y Simplifying 0 = -1x + -1y 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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