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Simplifying (-3xy2 + -4y) * dx + (-3x2y + -4x) * dy = 0 Reorder the terms for easier multiplication: dx(-3xy2 + -4y) + (-3x2y + -4x) * dy = 0 (-3xy2 * dx + -4y * dx) + (-3x2y + -4x) * dy = 0 Reorder the terms: (-4dxy + -3dx2y2) + (-3x2y + -4x) * dy = 0 (-4dxy + -3dx2y2) + (-3x2y + -4x) * dy = 0 Reorder the terms: -4dxy + -3dx2y2 + (-4x + -3x2y) * dy = 0 Reorder the terms for easier multiplication: -4dxy + -3dx2y2 + dy(-4x + -3x2y) = 0 -4dxy + -3dx2y2 + (-4x * dy + -3x2y * dy) = 0 -4dxy + -3dx2y2 + (-4dxy + -3dx2y2) = 0 Reorder the terms: -4dxy + -4dxy + -3dx2y2 + -3dx2y2 = 0 Combine like terms: -4dxy + -4dxy = -8dxy -8dxy + -3dx2y2 + -3dx2y2 = 0 Combine like terms: -3dx2y2 + -3dx2y2 = -6dx2y2 -8dxy + -6dx2y2 = 0 Solving -8dxy + -6dx2y2 = 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), '-2dxy'. -2dxy(4 + 3xy) = 0 Ignore the factor -2.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 '(4 + 3xy)' equal to zero and attempt to solve: Simplifying 4 + 3xy = 0 Solving 4 + 3xy = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3xy = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3xy = 0 + -4 3xy = 0 + -4 Combine like terms: 0 + -4 = -4 3xy = -4 Add '-3xy' to each side of the equation. 3xy + -3xy = -4 + -3xy Combine like terms: 3xy + -3xy = 0 0 = -4 + -3xy Simplifying 0 = -4 + -3xy 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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