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Simplifying xy2(1 + x2) * dy + (1 + y3) * dx = 0 Reorder the terms for easier multiplication: xy2 * dy(1 + x2) + (1 + y3) * dx = 0 Multiply xy2 * dy dxy3(1 + x2) + (1 + y3) * dx = 0 (1 * dxy3 + x2 * dxy3) + (1 + y3) * dx = 0 (1dxy3 + dx3y3) + (1 + y3) * dx = 0 Reorder the terms for easier multiplication: 1dxy3 + dx3y3 + dx(1 + y3) = 0 1dxy3 + dx3y3 + (1 * dx + y3 * dx) = 0 1dxy3 + dx3y3 + (1dx + dxy3) = 0 Reorder the terms: 1dx + 1dxy3 + dxy3 + dx3y3 = 0 Combine like terms: 1dxy3 + dxy3 = 2dxy3 1dx + 2dxy3 + dx3y3 = 0 Solving 1dx + 2dxy3 + dx3y3 = 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(1 + 2y3 + x2y3) = 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 '(1 + 2y3 + x2y3)' equal to zero and attempt to solve: Simplifying 1 + 2y3 + x2y3 = 0 Reorder the terms: 1 + x2y3 + 2y3 = 0 Solving 1 + x2y3 + 2y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + x2y3 + -1 + 2y3 = 0 + -1 Reorder the terms: 1 + -1 + x2y3 + 2y3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2y3 + 2y3 = 0 + -1 x2y3 + 2y3 = 0 + -1 Combine like terms: 0 + -1 = -1 x2y3 + 2y3 = -1 Add '-1x2y3' to each side of the equation. x2y3 + -1x2y3 + 2y3 = -1 + -1x2y3 Combine like terms: x2y3 + -1x2y3 = 0 0 + 2y3 = -1 + -1x2y3 2y3 = -1 + -1x2y3 Add '-2y3' to each side of the equation. 2y3 + -2y3 = -1 + -1x2y3 + -2y3 Combine like terms: 2y3 + -2y3 = 0 0 = -1 + -1x2y3 + -2y3 Simplifying 0 = -1 + -1x2y3 + -2y3 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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