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Simplifying (2x + -1y) * dx + (2y + -1x) * dx = 0 Reorder the terms for easier multiplication: dx(2x + -1y) + (2y + -1x) * dx = 0 (2x * dx + -1y * dx) + (2y + -1x) * dx = 0 Reorder the terms: (-1dxy + 2dx2) + (2y + -1x) * dx = 0 (-1dxy + 2dx2) + (2y + -1x) * dx = 0 Reorder the terms: -1dxy + 2dx2 + (-1x + 2y) * dx = 0 Reorder the terms for easier multiplication: -1dxy + 2dx2 + dx(-1x + 2y) = 0 -1dxy + 2dx2 + (-1x * dx + 2y * dx) = 0 Reorder the terms: -1dxy + 2dx2 + (2dxy + -1dx2) = 0 -1dxy + 2dx2 + (2dxy + -1dx2) = 0 Reorder the terms: -1dxy + 2dxy + 2dx2 + -1dx2 = 0 Combine like terms: -1dxy + 2dxy = 1dxy 1dxy + 2dx2 + -1dx2 = 0 Combine like terms: 2dx2 + -1dx2 = 1dx2 1dxy + 1dx2 = 0 Solving 1dxy + 1dx2 = 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), 'dx'. dx(y + x) = 0Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 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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