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Simplifying (x + xy2) * dy + -3dx = 0 Reorder the terms for easier multiplication: dy(x + xy2) + -3dx = 0 (x * dy + xy2 * dy) + -3dx = 0 (dxy + dxy3) + -3dx = 0 Reorder the terms: -3dx + dxy + dxy3 = 0 Solving -3dx + dxy + dxy3 = 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), 'dx'. dx(-3 + y + y3) = 0Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 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 + y + y3)' equal to zero and attempt to solve: Simplifying -3 + y + y3 = 0 Solving -3 + y + y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '3' to each side of the equation. -3 + y + 3 + y3 = 0 + 3 Reorder the terms: -3 + 3 + y + y3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + y + y3 = 0 + 3 y + y3 = 0 + 3 Combine like terms: 0 + 3 = 3 y + y3 = 3 Add '-1y' to each side of the equation. y + -1y + y3 = 3 + -1y Combine like terms: y + -1y = 0 0 + y3 = 3 + -1y y3 = 3 + -1y Add '-1y3' to each side of the equation. y3 + -1y3 = 3 + -1y + -1y3 Combine like terms: y3 + -1y3 = 0 0 = 3 + -1y + -1y3 Simplifying 0 = 3 + -1y + -1y3 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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