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Simplifying (2dx) + (2x + 3y) * dy = 0 Reorder the terms for easier multiplication: (2dx) + dy(2x + 3y) = 0 (2dx) + (2x * dy + 3y * dy) = 0 (2dx) + (2dxy + 3dy2) = 0 Solving (2dx) + 2dxy + 3dy2 = 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), 'd'. d((2x) + 2xy + 3y2) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '((2x) + 2xy + 3y2)' equal to zero and attempt to solve: Simplifying (2x) + 2xy + 3y2 = 0 Solving (2x) + 2xy + 3y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '(-2x)' to each side of the equation. (2x) + 2xy + (-2x) + 3y2 = 0 + (-2x) Reorder the terms: (2x) + (-2x) + 2xy + 3y2 = 0 + (-2x) Combine like terms: (2x) + (-2x) = 0 0 + 2xy + 3y2 = 0 + (-2x) 2xy + 3y2 = 0 + (-2x) Remove the zero: 2xy + 3y2 = (-2x) Add '-2xy' to each side of the equation. 2xy + -2xy + 3y2 = (-2x) + -2xy Combine like terms: 2xy + -2xy = 0 0 + 3y2 = (-2x) + -2xy 3y2 = (-2x) + -2xy Add '-3y2' to each side of the equation. 3y2 + -3y2 = (-2x) + -2xy + -3y2 Combine like terms: 3y2 + -3y2 = 0 0 = (-2x) + -2xy + -3y2 Simplifying 0 = (-2x) + -2xy + -3y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
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