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Simplifying (2xy2 + -3y2) * dx + (7 + -3xy2) * dy = 0 Reorder the terms for easier multiplication: dx(2xy2 + -3y2) + (7 + -3xy2) * dy = 0 (2xy2 * dx + -3y2 * dx) + (7 + -3xy2) * dy = 0 Reorder the terms: (-3dxy2 + 2dx2y2) + (7 + -3xy2) * dy = 0 (-3dxy2 + 2dx2y2) + (7 + -3xy2) * dy = 0 Reorder the terms for easier multiplication: -3dxy2 + 2dx2y2 + dy(7 + -3xy2) = 0 -3dxy2 + 2dx2y2 + (7 * dy + -3xy2 * dy) = 0 Reorder the terms: -3dxy2 + 2dx2y2 + (-3dxy3 + 7dy) = 0 -3dxy2 + 2dx2y2 + (-3dxy3 + 7dy) = 0 Reorder the terms: -3dxy2 + -3dxy3 + 2dx2y2 + 7dy = 0 Solving -3dxy2 + -3dxy3 + 2dx2y2 + 7dy = 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), 'dy'. dy(-3xy + -3xy2 + 2x2y + 7) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(-3xy + -3xy2 + 2x2y + 7)' equal to zero and attempt to solve: Simplifying -3xy + -3xy2 + 2x2y + 7 = 0 Reorder the terms: 7 + -3xy + -3xy2 + 2x2y = 0 Solving 7 + -3xy + -3xy2 + 2x2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -3xy + -3xy2 + -7 + 2x2y = 0 + -7 Reorder the terms: 7 + -7 + -3xy + -3xy2 + 2x2y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3xy + -3xy2 + 2x2y = 0 + -7 -3xy + -3xy2 + 2x2y = 0 + -7 Combine like terms: 0 + -7 = -7 -3xy + -3xy2 + 2x2y = -7 Add '3xy' to each side of the equation. -3xy + -3xy2 + 3xy + 2x2y = -7 + 3xy Reorder the terms: -3xy + 3xy + -3xy2 + 2x2y = -7 + 3xy Combine like terms: -3xy + 3xy = 0 0 + -3xy2 + 2x2y = -7 + 3xy -3xy2 + 2x2y = -7 + 3xy Add '3xy2' to each side of the equation. -3xy2 + 3xy2 + 2x2y = -7 + 3xy + 3xy2 Combine like terms: -3xy2 + 3xy2 = 0 0 + 2x2y = -7 + 3xy + 3xy2 2x2y = -7 + 3xy + 3xy2 Add '-2x2y' to each side of the equation. 2x2y + -2x2y = -7 + 3xy + 3xy2 + -2x2y Combine like terms: 2x2y + -2x2y = 0 0 = -7 + 3xy + 3xy2 + -2x2y Simplifying 0 = -7 + 3xy + 3xy2 + -2x2y 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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