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Simplifying (2x2 + 3x) * dx + (2xy) * dy = 0 Reorder the terms: (3x + 2x2) * dx + (2xy) * dy = 0 Reorder the terms for easier multiplication: dx(3x + 2x2) + (2xy) * dy = 0 (3x * dx + 2x2 * dx) + (2xy) * dy = 0 (3dx2 + 2dx3) + (2xy) * dy = 0 Remove parenthesis around (2xy) 3dx2 + 2dx3 + 2xy * dy = 0 Multiply xy * dy 3dx2 + 2dx3 + 2dxy2 = 0 Reorder the terms: 2dxy2 + 3dx2 + 2dx3 = 0 Solving 2dxy2 + 3dx2 + 2dx3 = 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(2y2 + 3x + 2x2) = 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 '(2y2 + 3x + 2x2)' equal to zero and attempt to solve: Simplifying 2y2 + 3x + 2x2 = 0 Reorder the terms: 3x + 2x2 + 2y2 = 0 Solving 3x + 2x2 + 2y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-3x' to each side of the equation. 3x + 2x2 + -3x + 2y2 = 0 + -3x Reorder the terms: 3x + -3x + 2x2 + 2y2 = 0 + -3x Combine like terms: 3x + -3x = 0 0 + 2x2 + 2y2 = 0 + -3x 2x2 + 2y2 = 0 + -3x Remove the zero: 2x2 + 2y2 = -3x Add '-2x2' to each side of the equation. 2x2 + -2x2 + 2y2 = -3x + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 + 2y2 = -3x + -2x2 2y2 = -3x + -2x2 Add '-2y2' to each side of the equation. 2y2 + -2y2 = -3x + -2x2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 0 = -3x + -2x2 + -2y2 Simplifying 0 = -3x + -2x2 + -2y2 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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