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Simplifying (2y2 + 6x) * dx + 2xy * dy = 0 Reorder the terms: (6x + 2y2) * dx + 2xy * dy = 0 Reorder the terms for easier multiplication: dx(6x + 2y2) + 2xy * dy = 0 (6x * dx + 2y2 * dx) + 2xy * dy = 0 Reorder the terms: (2dxy2 + 6dx2) + 2xy * dy = 0 (2dxy2 + 6dx2) + 2xy * dy = 0 Multiply xy * dy 2dxy2 + 6dx2 + 2dxy2 = 0 Reorder the terms: 2dxy2 + 2dxy2 + 6dx2 = 0 Combine like terms: 2dxy2 + 2dxy2 = 4dxy2 4dxy2 + 6dx2 = 0 Solving 4dxy2 + 6dx2 = 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), '2dx'. 2dx(2y2 + 3x) = 0 Ignore the factor 2.Subproblem 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)' equal to zero and attempt to solve: Simplifying 2y2 + 3x = 0 Reorder the terms: 3x + 2y2 = 0 Solving 3x + 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 + -3x + 2y2 = 0 + -3x Combine like terms: 3x + -3x = 0 0 + 2y2 = 0 + -3x 2y2 = 0 + -3x Remove the zero: 2y2 = -3x Add '-2y2' to each side of the equation. 2y2 + -2y2 = -3x + -2y2 Combine like terms: 2y2 + -2y2 = 0 0 = -3x + -2y2 Simplifying 0 = -3x + -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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