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Simplifying (x + 3y + -5) * dx + -1x(x + -3y2 + -1) * dy = 0 Reorder the terms: (-5 + x + 3y) * dx + -1x(x + -3y2 + -1) * dy = 0 Reorder the terms for easier multiplication: dx(-5 + x + 3y) + -1x(x + -3y2 + -1) * dy = 0 (-5 * dx + x * dx + 3y * dx) + -1x(x + -3y2 + -1) * dy = 0 Reorder the terms: (-5dx + 3dxy + dx2) + -1x(x + -3y2 + -1) * dy = 0 (-5dx + 3dxy + dx2) + -1x(x + -3y2 + -1) * dy = 0 Reorder the terms: -5dx + 3dxy + dx2 + -1x(-1 + x + -3y2) * dy = 0 Reorder the terms for easier multiplication: -5dx + 3dxy + dx2 + -1x * dy(-1 + x + -3y2) = 0 Multiply x * dy -5dx + 3dxy + dx2 + -1dxy(-1 + x + -3y2) = 0 -5dx + 3dxy + dx2 + (-1 * -1dxy + x * -1dxy + -3y2 * -1dxy) = 0 Reorder the terms: -5dx + 3dxy + dx2 + (1dxy + 3dxy3 + -1dx2y) = 0 -5dx + 3dxy + dx2 + (1dxy + 3dxy3 + -1dx2y) = 0 Reorder the terms: -5dx + 3dxy + 1dxy + 3dxy3 + dx2 + -1dx2y = 0 Combine like terms: 3dxy + 1dxy = 4dxy -5dx + 4dxy + 3dxy3 + dx2 + -1dx2y = 0 Solving -5dx + 4dxy + 3dxy3 + dx2 + -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), 'dx'. dx(-5 + 4y + 3y3 + x + -1xy) = 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 '(-5 + 4y + 3y3 + x + -1xy)' equal to zero and attempt to solve: Simplifying -5 + 4y + 3y3 + x + -1xy = 0 Reorder the terms: -5 + x + -1xy + 4y + 3y3 = 0 Solving -5 + x + -1xy + 4y + 3y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '5' to each side of the equation. -5 + x + -1xy + 4y + 5 + 3y3 = 0 + 5 Reorder the terms: -5 + 5 + x + -1xy + 4y + 3y3 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x + -1xy + 4y + 3y3 = 0 + 5 x + -1xy + 4y + 3y3 = 0 + 5 Combine like terms: 0 + 5 = 5 x + -1xy + 4y + 3y3 = 5 Add '-1x' to each side of the equation. x + -1xy + 4y + -1x + 3y3 = 5 + -1x Reorder the terms: x + -1x + -1xy + 4y + 3y3 = 5 + -1x Combine like terms: x + -1x = 0 0 + -1xy + 4y + 3y3 = 5 + -1x -1xy + 4y + 3y3 = 5 + -1x Add 'xy' to each side of the equation. -1xy + 4y + xy + 3y3 = 5 + -1x + xy Reorder the terms: -1xy + xy + 4y + 3y3 = 5 + -1x + xy Combine like terms: -1xy + xy = 0 0 + 4y + 3y3 = 5 + -1x + xy 4y + 3y3 = 5 + -1x + xy Add '-4y' to each side of the equation. 4y + -4y + 3y3 = 5 + -1x + xy + -4y Combine like terms: 4y + -4y = 0 0 + 3y3 = 5 + -1x + xy + -4y 3y3 = 5 + -1x + xy + -4y Add '-3y3' to each side of the equation. 3y3 + -3y3 = 5 + -1x + xy + -4y + -3y3 Combine like terms: 3y3 + -3y3 = 0 0 = 5 + -1x + xy + -4y + -3y3 Simplifying 0 = 5 + -1x + xy + -4y + -3y3 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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