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Simplifying 2(y + 4x2) * dx + xdy = 0 Reorder the terms: 2(4x2 + y) * dx + xdy = 0 Reorder the terms for easier multiplication: 2dx(4x2 + y) + xdy = 0 (4x2 * 2dx + y * 2dx) + xdy = 0 Reorder the terms: (2dxy + 8dx3) + xdy = 0 (2dxy + 8dx3) + xdy = 0 Reorder the terms: 2dxy + dxy + 8dx3 = 0 Combine like terms: 2dxy + dxy = 3dxy 3dxy + 8dx3 = 0 Solving 3dxy + 8dx3 = 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(3y + 8x2) = 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 '(3y + 8x2)' equal to zero and attempt to solve: Simplifying 3y + 8x2 = 0 Reorder the terms: 8x2 + 3y = 0 Solving 8x2 + 3y = 0 Move all terms containing d to the left, all other terms to the right. Add '-8x2' to each side of the equation. 8x2 + -8x2 + 3y = 0 + -8x2 Combine like terms: 8x2 + -8x2 = 0 0 + 3y = 0 + -8x2 3y = 0 + -8x2 Remove the zero: 3y = -8x2 Add '-3y' to each side of the equation. 3y + -3y = -8x2 + -3y Combine like terms: 3y + -3y = 0 0 = -8x2 + -3y Simplifying 0 = -8x2 + -3y 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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