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Simplifying (5x + -1y) * dx + 3xdy = 0 Reorder the terms for easier multiplication: dx(5x + -1y) + 3xdy = 0 (5x * dx + -1y * dx) + 3xdy = 0 Reorder the terms: (-1dxy + 5dx2) + 3xdy = 0 (-1dxy + 5dx2) + 3xdy = 0 Reorder the terms: -1dxy + 3dxy + 5dx2 = 0 Combine like terms: -1dxy + 3dxy = 2dxy 2dxy + 5dx2 = 0 Solving 2dxy + 5dx2 = 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(2y + 5x) = 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 '(2y + 5x)' equal to zero and attempt to solve: Simplifying 2y + 5x = 0 Reorder the terms: 5x + 2y = 0 Solving 5x + 2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-5x' to each side of the equation. 5x + -5x + 2y = 0 + -5x Combine like terms: 5x + -5x = 0 0 + 2y = 0 + -5x 2y = 0 + -5x Remove the zero: 2y = -5x Add '-2y' to each side of the equation. 2y + -2y = -5x + -2y Combine like terms: 2y + -2y = 0 0 = -5x + -2y Simplifying 0 = -5x + -2y 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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