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Simplifying (2y2) * dx + (3xy + -1x2) * dy = 0 Remove parenthesis around (2y2) 2y2 * dx + (3xy + -1x2) * dy = 0 Multiply y2 * dx 2dxy2 + (3xy + -1x2) * dy = 0 Reorder the terms for easier multiplication: 2dxy2 + dy(3xy + -1x2) = 0 2dxy2 + (3xy * dy + -1x2 * dy) = 0 2dxy2 + (3dxy2 + -1dx2y) = 0 Combine like terms: 2dxy2 + 3dxy2 = 5dxy2 5dxy2 + -1dx2y = 0 Solving 5dxy2 + -1dx2y = 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), 'dxy'. dxy(5y + -1x) = 0Subproblem 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 '(5y + -1x)' equal to zero and attempt to solve: Simplifying 5y + -1x = 0 Reorder the terms: -1x + 5y = 0 Solving -1x + 5y = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + x + 5y = 0 + x Combine like terms: -1x + x = 0 0 + 5y = 0 + x 5y = 0 + x Remove the zero: 5y = x Add '-5y' to each side of the equation. 5y + -5y = x + -5y Combine like terms: 5y + -5y = 0 0 = x + -5y Simplifying 0 = x + -5y 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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