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Simplifying (-4xy2 + -1y) * dx + (-4x2y + -1x) * dy = 0 Reorder the terms for easier multiplication: dx(-4xy2 + -1y) + (-4x2y + -1x) * dy = 0 (-4xy2 * dx + -1y * dx) + (-4x2y + -1x) * dy = 0 Reorder the terms: (-1dxy + -4dx2y2) + (-4x2y + -1x) * dy = 0 (-1dxy + -4dx2y2) + (-4x2y + -1x) * dy = 0 Reorder the terms: -1dxy + -4dx2y2 + (-1x + -4x2y) * dy = 0 Reorder the terms for easier multiplication: -1dxy + -4dx2y2 + dy(-1x + -4x2y) = 0 -1dxy + -4dx2y2 + (-1x * dy + -4x2y * dy) = 0 -1dxy + -4dx2y2 + (-1dxy + -4dx2y2) = 0 Reorder the terms: -1dxy + -1dxy + -4dx2y2 + -4dx2y2 = 0 Combine like terms: -1dxy + -1dxy = -2dxy -2dxy + -4dx2y2 + -4dx2y2 = 0 Combine like terms: -4dx2y2 + -4dx2y2 = -8dx2y2 -2dxy + -8dx2y2 = 0 Solving -2dxy + -8dx2y2 = 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(1 + 4xy) = 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 '(1 + 4xy)' equal to zero and attempt to solve: Simplifying 1 + 4xy = 0 Solving 1 + 4xy = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4xy = 0 + -1 4xy = 0 + -1 Combine like terms: 0 + -1 = -1 4xy = -1 Add '-4xy' to each side of the equation. 4xy + -4xy = -1 + -4xy Combine like terms: 4xy + -4xy = 0 0 = -1 + -4xy Simplifying 0 = -1 + -4xy 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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