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Simplifying (x2 + 3y) * dx + -1xdy = 0 Reorder the terms for easier multiplication: dx(x2 + 3y) + -1xdy = 0 (x2 * dx + 3y * dx) + -1xdy = 0 Reorder the terms: (3dxy + dx3) + -1xdy = 0 (3dxy + dx3) + -1xdy = 0 Reorder the terms: 3dxy + -1dxy + dx3 = 0 Combine like terms: 3dxy + -1dxy = 2dxy 2dxy + dx3 = 0 Solving 2dxy + dx3 = 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(2y + x2) = 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 '(2y + x2)' equal to zero and attempt to solve: Simplifying 2y + x2 = 0 Reorder the terms: x2 + 2y = 0 Solving x2 + 2y = 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 + 2y = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + 2y = 0 + -1x2 2y = 0 + -1x2 Remove the zero: 2y = -1x2 Add '-2y' to each side of the equation. 2y + -2y = -1x2 + -2y Combine like terms: 2y + -2y = 0 0 = -1x2 + -2y Simplifying 0 = -1x2 + -2y 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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