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Simplifying (5xy2 + -2y) * dx + (3x2y + -1x) * dy = 0 Reorder the terms for easier multiplication: dx(5xy2 + -2y) + (3x2y + -1x) * dy = 0 (5xy2 * dx + -2y * dx) + (3x2y + -1x) * dy = 0 Reorder the terms: (-2dxy + 5dx2y2) + (3x2y + -1x) * dy = 0 (-2dxy + 5dx2y2) + (3x2y + -1x) * dy = 0 Reorder the terms: -2dxy + 5dx2y2 + (-1x + 3x2y) * dy = 0 Reorder the terms for easier multiplication: -2dxy + 5dx2y2 + dy(-1x + 3x2y) = 0 -2dxy + 5dx2y2 + (-1x * dy + 3x2y * dy) = 0 -2dxy + 5dx2y2 + (-1dxy + 3dx2y2) = 0 Reorder the terms: -2dxy + -1dxy + 5dx2y2 + 3dx2y2 = 0 Combine like terms: -2dxy + -1dxy = -3dxy -3dxy + 5dx2y2 + 3dx2y2 = 0 Combine like terms: 5dx2y2 + 3dx2y2 = 8dx2y2 -3dxy + 8dx2y2 = 0 Solving -3dxy + 8dx2y2 = 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), 'dxy'. dxy(-3 + 8xy) = 0Subproblem 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 '(-3 + 8xy)' equal to zero and attempt to solve: Simplifying -3 + 8xy = 0 Solving -3 + 8xy = 0 Move all terms containing d to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8xy = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8xy = 0 + 3 8xy = 0 + 3 Combine like terms: 0 + 3 = 3 8xy = 3 Add '-8xy' to each side of the equation. 8xy + -8xy = 3 + -8xy Combine like terms: 8xy + -8xy = 0 0 = 3 + -8xy Simplifying 0 = 3 + -8xy 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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