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Simplifying (2x2 * y + 4) * dx + (2x2 * y + -6) * dy = 0 Multiply x2 * y (2x2y + 4) * dx + (2x2 * y + -6) * dy = 0 Reorder the terms: (4 + 2x2y) * dx + (2x2 * y + -6) * dy = 0 Reorder the terms for easier multiplication: dx(4 + 2x2y) + (2x2 * y + -6) * dy = 0 (4 * dx + 2x2y * dx) + (2x2 * y + -6) * dy = 0 (4dx + 2dx3y) + (2x2 * y + -6) * dy = 0 Multiply x2 * y 4dx + 2dx3y + (2x2y + -6) * dy = 0 Reorder the terms: 4dx + 2dx3y + (-6 + 2x2y) * dy = 0 Reorder the terms for easier multiplication: 4dx + 2dx3y + dy(-6 + 2x2y) = 0 4dx + 2dx3y + (-6 * dy + 2x2y * dy) = 0 Reorder the terms: 4dx + 2dx3y + (2dx2y2 + -6dy) = 0 4dx + 2dx3y + (2dx2y2 + -6dy) = 0 Reorder the terms: 4dx + 2dx2y2 + 2dx3y + -6dy = 0 Solving 4dx + 2dx2y2 + 2dx3y + -6dy = 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), '2d'. 2d(2x + x2y2 + x3y + -3y) = 0 Ignore the factor 2.Subproblem 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 + x2y2 + x3y + -3y)' equal to zero and attempt to solve: Simplifying 2x + x2y2 + x3y + -3y = 0 Solving 2x + x2y2 + x3y + -3y = 0 Move all terms containing d to the left, all other terms to the right. Add '-2x' to each side of the equation. 2x + x2y2 + x3y + -2x + -3y = 0 + -2x Reorder the terms: 2x + -2x + x2y2 + x3y + -3y = 0 + -2x Combine like terms: 2x + -2x = 0 0 + x2y2 + x3y + -3y = 0 + -2x x2y2 + x3y + -3y = 0 + -2x Remove the zero: x2y2 + x3y + -3y = -2x Add '-1x2y2' to each side of the equation. x2y2 + x3y + -1x2y2 + -3y = -2x + -1x2y2 Reorder the terms: x2y2 + -1x2y2 + x3y + -3y = -2x + -1x2y2 Combine like terms: x2y2 + -1x2y2 = 0 0 + x3y + -3y = -2x + -1x2y2 x3y + -3y = -2x + -1x2y2 Add '-1x3y' to each side of the equation. x3y + -1x3y + -3y = -2x + -1x2y2 + -1x3y Combine like terms: x3y + -1x3y = 0 0 + -3y = -2x + -1x2y2 + -1x3y -3y = -2x + -1x2y2 + -1x3y Add '3y' to each side of the equation. -3y + 3y = -2x + -1x2y2 + -1x3y + 3y Combine like terms: -3y + 3y = 0 0 = -2x + -1x2y2 + -1x3y + 3y Simplifying 0 = -2x + -1x2y2 + -1x3y + 3y 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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