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Simplifying (y4 + -2x3y) * dx + (x4 + -2xy3) * dy = 0 Reorder the terms: (-2x3y + y4) * dx + (x4 + -2xy3) * dy = 0 Reorder the terms for easier multiplication: dx(-2x3y + y4) + (x4 + -2xy3) * dy = 0 (-2x3y * dx + y4 * dx) + (x4 + -2xy3) * dy = 0 Reorder the terms: (dxy4 + -2dx4y) + (x4 + -2xy3) * dy = 0 (dxy4 + -2dx4y) + (x4 + -2xy3) * dy = 0 Reorder the terms: dxy4 + -2dx4y + (-2xy3 + x4) * dy = 0 Reorder the terms for easier multiplication: dxy4 + -2dx4y + dy(-2xy3 + x4) = 0 dxy4 + -2dx4y + (-2xy3 * dy + x4 * dy) = 0 dxy4 + -2dx4y + (-2dxy4 + dx4y) = 0 Reorder the terms: dxy4 + -2dxy4 + -2dx4y + dx4y = 0 Combine like terms: dxy4 + -2dxy4 = -1dxy4 -1dxy4 + -2dx4y + dx4y = 0 Combine like terms: -2dx4y + dx4y = -1dx4y -1dxy4 + -1dx4y = 0 Solving -1dxy4 + -1dx4y = 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), '-1dxy'. -1dxy(y3 + x3) = 0 Ignore the factor -1.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 '(y3 + x3)' equal to zero and attempt to solve: Simplifying y3 + x3 = 0 Reorder the terms: x3 + y3 = 0 Solving x3 + y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x3' to each side of the equation. x3 + -1x3 + y3 = 0 + -1x3 Combine like terms: x3 + -1x3 = 0 0 + y3 = 0 + -1x3 y3 = 0 + -1x3 Remove the zero: y3 = -1x3 Add '-1y3' to each side of the equation. y3 + -1y3 = -1x3 + -1y3 Combine like terms: y3 + -1y3 = 0 0 = -1x3 + -1y3 Simplifying 0 = -1x3 + -1y3 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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