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Simplifying (2x2y + -3y4) * dx + (3x3 + -2xy3) * dy = 0 Reorder the terms for easier multiplication: dx(2x2y + -3y4) + (3x3 + -2xy3) * dy = 0 (2x2y * dx + -3y4 * dx) + (3x3 + -2xy3) * dy = 0 Reorder the terms: (-3dxy4 + 2dx3y) + (3x3 + -2xy3) * dy = 0 (-3dxy4 + 2dx3y) + (3x3 + -2xy3) * dy = 0 Reorder the terms: -3dxy4 + 2dx3y + (-2xy3 + 3x3) * dy = 0 Reorder the terms for easier multiplication: -3dxy4 + 2dx3y + dy(-2xy3 + 3x3) = 0 -3dxy4 + 2dx3y + (-2xy3 * dy + 3x3 * dy) = 0 -3dxy4 + 2dx3y + (-2dxy4 + 3dx3y) = 0 Reorder the terms: -3dxy4 + -2dxy4 + 2dx3y + 3dx3y = 0 Combine like terms: -3dxy4 + -2dxy4 = -5dxy4 -5dxy4 + 2dx3y + 3dx3y = 0 Combine like terms: 2dx3y + 3dx3y = 5dx3y -5dxy4 + 5dx3y = 0 Solving -5dxy4 + 5dx3y = 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), '5dxy'. 5dxy(-1y3 + x2) = 0 Ignore the factor 5.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 '(-1y3 + x2)' equal to zero and attempt to solve: Simplifying -1y3 + x2 = 0 Reorder the terms: x2 + -1y3 = 0 Solving x2 + -1y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x2' to each side of the equation. x2 + -1x2 + -1y3 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + -1y3 = 0 + -1x2 -1y3 = 0 + -1x2 Remove the zero: -1y3 = -1x2 Add 'y3' to each side of the equation. -1y3 + y3 = -1x2 + y3 Combine like terms: -1y3 + y3 = 0 0 = -1x2 + y3 Simplifying 0 = -1x2 + y3 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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