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