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Simplifying ydx(3 + 3x + -1y) * dy = 0 Reorder the terms for easier multiplication: dxy * dy(3 + 3x + -1y) = 0 Multiply dxy * dy d2xy2(3 + 3x + -1y) = 0 (3 * d2xy2 + 3x * d2xy2 + -1y * d2xy2) = 0 Reorder the terms: (3d2xy2 + -1d2xy3 + 3d2x2y2) = 0 (3d2xy2 + -1d2xy3 + 3d2x2y2) = 0 Solving 3d2xy2 + -1d2xy3 + 3d2x2y2 = 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), 'd2xy2'. d2xy2(3 + -1y + 3x) = 0Subproblem 1
Set the factor 'd2xy2' equal to zero and attempt to solve: Simplifying d2xy2 = 0 Solving d2xy2 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d2xy2 = 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 + -1y + 3x)' equal to zero and attempt to solve: Simplifying 3 + -1y + 3x = 0 Reorder the terms: 3 + 3x + -1y = 0 Solving 3 + 3x + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 3x + -3 + -1y = 0 + -3 Reorder the terms: 3 + -3 + 3x + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3x + -1y = 0 + -3 3x + -1y = 0 + -3 Combine like terms: 0 + -3 = -3 3x + -1y = -3 Add '-3x' to each side of the equation. 3x + -3x + -1y = -3 + -3x Combine like terms: 3x + -3x = 0 0 + -1y = -3 + -3x -1y = -3 + -3x Add 'y' to each side of the equation. -1y + y = -3 + -3x + y Combine like terms: -1y + y = 0 0 = -3 + -3x + y Simplifying 0 = -3 + -3x + y 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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