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Simplifying (9x2 + y + -1) * dx + -1(4y + -1x) * dy = 0 Reorder the terms: (-1 + 9x2 + y) * dx + -1(4y + -1x) * dy = 0 Reorder the terms for easier multiplication: dx(-1 + 9x2 + y) + -1(4y + -1x) * dy = 0 (-1 * dx + 9x2 * dx + y * dx) + -1(4y + -1x) * dy = 0 Reorder the terms: (-1dx + dxy + 9dx3) + -1(4y + -1x) * dy = 0 (-1dx + dxy + 9dx3) + -1(4y + -1x) * dy = 0 Reorder the terms: -1dx + dxy + 9dx3 + -1(-1x + 4y) * dy = 0 Reorder the terms for easier multiplication: -1dx + dxy + 9dx3 + -1dy(-1x + 4y) = 0 -1dx + dxy + 9dx3 + (-1x * -1dy + 4y * -1dy) = 0 -1dx + dxy + 9dx3 + (1dxy + -4dy2) = 0 Reorder the terms: -1dx + dxy + 1dxy + 9dx3 + -4dy2 = 0 Combine like terms: dxy + 1dxy = 2dxy -1dx + 2dxy + 9dx3 + -4dy2 = 0 Solving -1dx + 2dxy + 9dx3 + -4dy2 = 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(-1x + 2xy + 9x3 + -4y2) = 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 '(-1x + 2xy + 9x3 + -4y2)' equal to zero and attempt to solve: Simplifying -1x + 2xy + 9x3 + -4y2 = 0 Solving -1x + 2xy + 9x3 + -4y2 = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + 2xy + 9x3 + x + -4y2 = 0 + x Reorder the terms: -1x + x + 2xy + 9x3 + -4y2 = 0 + x Combine like terms: -1x + x = 0 0 + 2xy + 9x3 + -4y2 = 0 + x 2xy + 9x3 + -4y2 = 0 + x Remove the zero: 2xy + 9x3 + -4y2 = x Add '-2xy' to each side of the equation. 2xy + 9x3 + -2xy + -4y2 = x + -2xy Reorder the terms: 2xy + -2xy + 9x3 + -4y2 = x + -2xy Combine like terms: 2xy + -2xy = 0 0 + 9x3 + -4y2 = x + -2xy 9x3 + -4y2 = x + -2xy Add '-9x3' to each side of the equation. 9x3 + -9x3 + -4y2 = x + -2xy + -9x3 Combine like terms: 9x3 + -9x3 = 0 0 + -4y2 = x + -2xy + -9x3 -4y2 = x + -2xy + -9x3 Add '4y2' to each side of the equation. -4y2 + 4y2 = x + -2xy + -9x3 + 4y2 Combine like terms: -4y2 + 4y2 = 0 0 = x + -2xy + -9x3 + 4y2 Simplifying 0 = x + -2xy + -9x3 + 4y2 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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