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Simplifying (2x2 + y) * dy + (x2y + -1x) * dx = 0 Reorder the terms for easier multiplication: dy(2x2 + y) + (x2y + -1x) * dx = 0 (2x2 * dy + y * dy) + (x2y + -1x) * dx = 0 (2dx2y + dy2) + (x2y + -1x) * dx = 0 Reorder the terms: 2dx2y + dy2 + (-1x + x2y) * dx = 0 Reorder the terms for easier multiplication: 2dx2y + dy2 + dx(-1x + x2y) = 0 2dx2y + dy2 + (-1x * dx + x2y * dx) = 0 2dx2y + dy2 + (-1dx2 + dx3y) = 0 Reorder the terms: -1dx2 + 2dx2y + dx3y + dy2 = 0 Solving -1dx2 + 2dx2y + dx3y + dy2 = 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(-1x2 + 2x2y + x3y + y2) = 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 '(-1x2 + 2x2y + x3y + y2)' equal to zero and attempt to solve: Simplifying -1x2 + 2x2y + x3y + y2 = 0 Solving -1x2 + 2x2y + x3y + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add 'x2' to each side of the equation. -1x2 + 2x2y + x3y + x2 + y2 = 0 + x2 Reorder the terms: -1x2 + x2 + 2x2y + x3y + y2 = 0 + x2 Combine like terms: -1x2 + x2 = 0 0 + 2x2y + x3y + y2 = 0 + x2 2x2y + x3y + y2 = 0 + x2 Remove the zero: 2x2y + x3y + y2 = x2 Add '-2x2y' to each side of the equation. 2x2y + x3y + -2x2y + y2 = x2 + -2x2y Reorder the terms: 2x2y + -2x2y + x3y + y2 = x2 + -2x2y Combine like terms: 2x2y + -2x2y = 0 0 + x3y + y2 = x2 + -2x2y x3y + y2 = x2 + -2x2y Add '-1x3y' to each side of the equation. x3y + -1x3y + y2 = x2 + -2x2y + -1x3y Combine like terms: x3y + -1x3y = 0 0 + y2 = x2 + -2x2y + -1x3y y2 = x2 + -2x2y + -1x3y Add '-1y2' to each side of the equation. y2 + -1y2 = x2 + -2x2y + -1x3y + -1y2 Combine like terms: y2 + -1y2 = 0 0 = x2 + -2x2y + -1x3y + -1y2 Simplifying 0 = x2 + -2x2y + -1x3y + -1y2 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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