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Simplifying (2x(y2) + -2y) * dx + ((3x2) + -4x) * dy = 0 Multiply x * y2 (2xy2 + -2y) * dx + ((3x2) + -4x) * dy = 0 Reorder the terms for easier multiplication: dx(2xy2 + -2y) + ((3x2) + -4x) * dy = 0 (2xy2 * dx + -2y * dx) + ((3x2) + -4x) * dy = 0 Reorder the terms: (-2dxy + 2dx2y2) + ((3x2) + -4x) * dy = 0 (-2dxy + 2dx2y2) + ((3x2) + -4x) * dy = 0 Reorder the terms: -2dxy + 2dx2y2 + (-4x + (3x2)) * dy = 0 Reorder the terms for easier multiplication: -2dxy + 2dx2y2 + dy(-4x + (3x2)) = 0 -2dxy + 2dx2y2 + (-4x * dy + (3x2) * dy) = 0 -2dxy + 2dx2y2 + (-4dxy + 3dx2y) = 0 Reorder the terms: -2dxy + -4dxy + 3dx2y + 2dx2y2 = 0 Combine like terms: -2dxy + -4dxy = -6dxy -6dxy + 3dx2y + 2dx2y2 = 0 Solving -6dxy + 3dx2y + 2dx2y2 = 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(-6 + 3x + 2xy) = 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 '(-6 + 3x + 2xy)' equal to zero and attempt to solve: Simplifying -6 + 3x + 2xy = 0 Solving -6 + 3x + 2xy = 0 Move all terms containing d to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 3x + 6 + 2xy = 0 + 6 Reorder the terms: -6 + 6 + 3x + 2xy = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 3x + 2xy = 0 + 6 3x + 2xy = 0 + 6 Combine like terms: 0 + 6 = 6 3x + 2xy = 6 Add '-3x' to each side of the equation. 3x + -3x + 2xy = 6 + -3x Combine like terms: 3x + -3x = 0 0 + 2xy = 6 + -3x 2xy = 6 + -3x Add '-2xy' to each side of the equation. 2xy + -2xy = 6 + -3x + -2xy Combine like terms: 2xy + -2xy = 0 0 = 6 + -3x + -2xy Simplifying 0 = 6 + -3x + -2xy 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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