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Simplifying (3x2 + -2y2) * dx + (2x3 + -3xy) * dy = 0 Reorder the terms for easier multiplication: dx(3x2 + -2y2) + (2x3 + -3xy) * dy = 0 (3x2 * dx + -2y2 * dx) + (2x3 + -3xy) * dy = 0 Reorder the terms: (-2dxy2 + 3dx3) + (2x3 + -3xy) * dy = 0 (-2dxy2 + 3dx3) + (2x3 + -3xy) * dy = 0 Reorder the terms: -2dxy2 + 3dx3 + (-3xy + 2x3) * dy = 0 Reorder the terms for easier multiplication: -2dxy2 + 3dx3 + dy(-3xy + 2x3) = 0 -2dxy2 + 3dx3 + (-3xy * dy + 2x3 * dy) = 0 -2dxy2 + 3dx3 + (-3dxy2 + 2dx3y) = 0 Reorder the terms: -2dxy2 + -3dxy2 + 3dx3 + 2dx3y = 0 Combine like terms: -2dxy2 + -3dxy2 = -5dxy2 -5dxy2 + 3dx3 + 2dx3y = 0 Solving -5dxy2 + 3dx3 + 2dx3y = 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(-5y2 + 3x2 + 2x2y) = 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 '(-5y2 + 3x2 + 2x2y)' equal to zero and attempt to solve: Simplifying -5y2 + 3x2 + 2x2y = 0 Reorder the terms: 3x2 + 2x2y + -5y2 = 0 Solving 3x2 + 2x2y + -5y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-3x2' to each side of the equation. 3x2 + 2x2y + -3x2 + -5y2 = 0 + -3x2 Reorder the terms: 3x2 + -3x2 + 2x2y + -5y2 = 0 + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 + 2x2y + -5y2 = 0 + -3x2 2x2y + -5y2 = 0 + -3x2 Remove the zero: 2x2y + -5y2 = -3x2 Add '-2x2y' to each side of the equation. 2x2y + -2x2y + -5y2 = -3x2 + -2x2y Combine like terms: 2x2y + -2x2y = 0 0 + -5y2 = -3x2 + -2x2y -5y2 = -3x2 + -2x2y Add '5y2' to each side of the equation. -5y2 + 5y2 = -3x2 + -2x2y + 5y2 Combine like terms: -5y2 + 5y2 = 0 0 = -3x2 + -2x2y + 5y2 Simplifying 0 = -3x2 + -2x2y + 5y2 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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