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Simplifying (x2y2 + -1x2 + y2 + -1) * dy + -1(xy + x) * dx = 0 Reorder the terms: (-1 + -1x2 + x2y2 + y2) * dy + -1(xy + x) * dx = 0 Reorder the terms for easier multiplication: dy(-1 + -1x2 + x2y2 + y2) + -1(xy + x) * dx = 0 (-1 * dy + -1x2 * dy + x2y2 * dy + y2 * dy) + -1(xy + x) * dx = 0 Reorder the terms: (-1dx2y + dx2y3 + -1dy + dy3) + -1(xy + x) * dx = 0 (-1dx2y + dx2y3 + -1dy + dy3) + -1(xy + x) * dx = 0 Reorder the terms: -1dx2y + dx2y3 + -1dy + dy3 + -1(x + xy) * dx = 0 Reorder the terms for easier multiplication: -1dx2y + dx2y3 + -1dy + dy3 + -1dx(x + xy) = 0 -1dx2y + dx2y3 + -1dy + dy3 + (x * -1dx + xy * -1dx) = 0 -1dx2y + dx2y3 + -1dy + dy3 + (-1dx2 + -1dx2y) = 0 Reorder the terms: -1dx2 + -1dx2y + -1dx2y + dx2y3 + -1dy + dy3 = 0 Combine like terms: -1dx2y + -1dx2y = -2dx2y -1dx2 + -2dx2y + dx2y3 + -1dy + dy3 = 0 Solving -1dx2 + -2dx2y + dx2y3 + -1dy + dy3 = 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 + x2y3 + -1y + y3) = 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 + x2y3 + -1y + y3)' equal to zero and attempt to solve: Simplifying -1x2 + -2x2y + x2y3 + -1y + y3 = 0 Solving -1x2 + -2x2y + x2y3 + -1y + y3 = 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 + x2y3 + -1y + x2 + y3 = 0 + x2 Reorder the terms: -1x2 + x2 + -2x2y + x2y3 + -1y + y3 = 0 + x2 Combine like terms: -1x2 + x2 = 0 0 + -2x2y + x2y3 + -1y + y3 = 0 + x2 -2x2y + x2y3 + -1y + y3 = 0 + x2 Remove the zero: -2x2y + x2y3 + -1y + y3 = x2 Add '2x2y' to each side of the equation. -2x2y + x2y3 + -1y + 2x2y + y3 = x2 + 2x2y Reorder the terms: -2x2y + 2x2y + x2y3 + -1y + y3 = x2 + 2x2y Combine like terms: -2x2y + 2x2y = 0 0 + x2y3 + -1y + y3 = x2 + 2x2y x2y3 + -1y + y3 = x2 + 2x2y Add '-1x2y3' to each side of the equation. x2y3 + -1y + -1x2y3 + y3 = x2 + 2x2y + -1x2y3 Reorder the terms: x2y3 + -1x2y3 + -1y + y3 = x2 + 2x2y + -1x2y3 Combine like terms: x2y3 + -1x2y3 = 0 0 + -1y + y3 = x2 + 2x2y + -1x2y3 -1y + y3 = x2 + 2x2y + -1x2y3 Add 'y' to each side of the equation. -1y + y + y3 = x2 + 2x2y + -1x2y3 + y Combine like terms: -1y + y = 0 0 + y3 = x2 + 2x2y + -1x2y3 + y y3 = x2 + 2x2y + -1x2y3 + y Add '-1y3' to each side of the equation. y3 + -1y3 = x2 + 2x2y + -1x2y3 + y + -1y3 Combine like terms: y3 + -1y3 = 0 0 = x2 + 2x2y + -1x2y3 + y + -1y3 Simplifying 0 = x2 + 2x2y + -1x2y3 + y + -1y3 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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