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Simplifying (x3y2 + -1y) * dx + (x2y4 + -1x) * dy = 0 Reorder the terms for easier multiplication: dx(x3y2 + -1y) + (x2y4 + -1x) * dy = 0 (x3y2 * dx + -1y * dx) + (x2y4 + -1x) * dy = 0 Reorder the terms: (-1dxy + dx4y2) + (x2y4 + -1x) * dy = 0 (-1dxy + dx4y2) + (x2y4 + -1x) * dy = 0 Reorder the terms: -1dxy + dx4y2 + (-1x + x2y4) * dy = 0 Reorder the terms for easier multiplication: -1dxy + dx4y2 + dy(-1x + x2y4) = 0 -1dxy + dx4y2 + (-1x * dy + x2y4 * dy) = 0 -1dxy + dx4y2 + (-1dxy + dx2y5) = 0 Reorder the terms: -1dxy + -1dxy + dx2y5 + dx4y2 = 0 Combine like terms: -1dxy + -1dxy = -2dxy -2dxy + dx2y5 + dx4y2 = 0 Solving -2dxy + dx2y5 + dx4y2 = 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(-2 + xy4 + x3y) = 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 '(-2 + xy4 + x3y)' equal to zero and attempt to solve: Simplifying -2 + xy4 + x3y = 0 Solving -2 + xy4 + x3y = 0 Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + xy4 + 2 + x3y = 0 + 2 Reorder the terms: -2 + 2 + xy4 + x3y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + xy4 + x3y = 0 + 2 xy4 + x3y = 0 + 2 Combine like terms: 0 + 2 = 2 xy4 + x3y = 2 Add '-1xy4' to each side of the equation. xy4 + -1xy4 + x3y = 2 + -1xy4 Combine like terms: xy4 + -1xy4 = 0 0 + x3y = 2 + -1xy4 x3y = 2 + -1xy4 Add '-1x3y' to each side of the equation. x3y + -1x3y = 2 + -1xy4 + -1x3y Combine like terms: x3y + -1x3y = 0 0 = 2 + -1xy4 + -1x3y Simplifying 0 = 2 + -1xy4 + -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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