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Simplifying (2x3 * y2 + -1y) * dx + (2x2 * y3 + -1x) * dy = 0 Multiply x3 * y2 (2x3y2 + -1y) * dx + (2x2 * y3 + -1x) * dy = 0 Reorder the terms for easier multiplication: dx(2x3y2 + -1y) + (2x2 * y3 + -1x) * dy = 0 (2x3y2 * dx + -1y * dx) + (2x2 * y3 + -1x) * dy = 0 Reorder the terms: (-1dxy + 2dx4y2) + (2x2 * y3 + -1x) * dy = 0 (-1dxy + 2dx4y2) + (2x2 * y3 + -1x) * dy = 0 Multiply x2 * y3 -1dxy + 2dx4y2 + (2x2y3 + -1x) * dy = 0 Reorder the terms: -1dxy + 2dx4y2 + (-1x + 2x2y3) * dy = 0 Reorder the terms for easier multiplication: -1dxy + 2dx4y2 + dy(-1x + 2x2y3) = 0 -1dxy + 2dx4y2 + (-1x * dy + 2x2y3 * dy) = 0 -1dxy + 2dx4y2 + (-1dxy + 2dx2y4) = 0 Reorder the terms: -1dxy + -1dxy + 2dx2y4 + 2dx4y2 = 0 Combine like terms: -1dxy + -1dxy = -2dxy -2dxy + 2dx2y4 + 2dx4y2 = 0 Solving -2dxy + 2dx2y4 + 2dx4y2 = 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), '2dxy'. 2dxy(-1 + xy3 + x3y) = 0 Ignore the factor 2.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 '(-1 + xy3 + x3y)' equal to zero and attempt to solve: Simplifying -1 + xy3 + x3y = 0 Solving -1 + xy3 + x3y = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + xy3 + 1 + x3y = 0 + 1 Reorder the terms: -1 + 1 + xy3 + x3y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + xy3 + x3y = 0 + 1 xy3 + x3y = 0 + 1 Combine like terms: 0 + 1 = 1 xy3 + x3y = 1 Add '-1xy3' to each side of the equation. xy3 + -1xy3 + x3y = 1 + -1xy3 Combine like terms: xy3 + -1xy3 = 0 0 + x3y = 1 + -1xy3 x3y = 1 + -1xy3 Add '-1x3y' to each side of the equation. x3y + -1x3y = 1 + -1xy3 + -1x3y Combine like terms: x3y + -1x3y = 0 0 = 1 + -1xy3 + -1x3y Simplifying 0 = 1 + -1xy3 + -1x3y 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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