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Simplifying y2dx + -1x(2x + 3y) * dy = 0 Reorder the terms for easier multiplication: dxy2 + -1x * dy(2x + 3y) = 0 Multiply x * dy dxy2 + -1dxy(2x + 3y) = 0 dxy2 + (2x * -1dxy + 3y * -1dxy) = 0 Reorder the terms: dxy2 + (-3dxy2 + -2dx2y) = 0 dxy2 + (-3dxy2 + -2dx2y) = 0 Combine like terms: dxy2 + -3dxy2 = -2dxy2 -2dxy2 + -2dx2y = 0 Solving -2dxy2 + -2dx2y = 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(y + x) = 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 '(y + x)' equal to zero and attempt to solve: Simplifying y + x = 0 Reorder the terms: x + y = 0 Solving x + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x + y = 0 + -1x Combine like terms: x + -1x = 0 0 + y = 0 + -1x y = 0 + -1x Remove the zero: y = -1x Add '-1y' to each side of the equation. y + -1y = -1x + -1y Combine like terms: y + -1y = 0 0 = -1x + -1y Simplifying 0 = -1x + -1y 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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