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Simplifying (4x3y3 + -2xy) * dx + (3x4y2 + -1x2) * dy = 0 Reorder the terms: (-2xy + 4x3y3) * dx + (3x4y2 + -1x2) * dy = 0 Reorder the terms for easier multiplication: dx(-2xy + 4x3y3) + (3x4y2 + -1x2) * dy = 0 (-2xy * dx + 4x3y3 * dx) + (3x4y2 + -1x2) * dy = 0 (-2dx2y + 4dx4y3) + (3x4y2 + -1x2) * dy = 0 Reorder the terms: -2dx2y + 4dx4y3 + (-1x2 + 3x4y2) * dy = 0 Reorder the terms for easier multiplication: -2dx2y + 4dx4y3 + dy(-1x2 + 3x4y2) = 0 -2dx2y + 4dx4y3 + (-1x2 * dy + 3x4y2 * dy) = 0 -2dx2y + 4dx4y3 + (-1dx2y + 3dx4y3) = 0 Reorder the terms: -2dx2y + -1dx2y + 4dx4y3 + 3dx4y3 = 0 Combine like terms: -2dx2y + -1dx2y = -3dx2y -3dx2y + 4dx4y3 + 3dx4y3 = 0 Combine like terms: 4dx4y3 + 3dx4y3 = 7dx4y3 -3dx2y + 7dx4y3 = 0 Solving -3dx2y + 7dx4y3 = 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), 'dx2y'. dx2y(-3 + 7x2y2) = 0Subproblem 1
Set the factor 'dx2y' equal to zero and attempt to solve: Simplifying dx2y = 0 Solving dx2y = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx2y = 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 '(-3 + 7x2y2)' equal to zero and attempt to solve: Simplifying -3 + 7x2y2 = 0 Solving -3 + 7x2y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7x2y2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7x2y2 = 0 + 3 7x2y2 = 0 + 3 Combine like terms: 0 + 3 = 3 7x2y2 = 3 Add '-7x2y2' to each side of the equation. 7x2y2 + -7x2y2 = 3 + -7x2y2 Combine like terms: 7x2y2 + -7x2y2 = 0 0 = 3 + -7x2y2 Simplifying 0 = 3 + -7x2y2 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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