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Simplifying dy = (x + -1y + -5) * dx Reorder the terms: dy = (-5 + x + -1y) * dx Reorder the terms for easier multiplication: dy = dx(-5 + x + -1y) dy = (-5 * dx + x * dx + -1y * dx) Reorder the terms: dy = (-5dx + -1dxy + dx2) dy = (-5dx + -1dxy + dx2) Solving dy = -5dx + -1dxy + dx2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5dx' to each side of the equation. 5dx + dy = -5dx + -1dxy + 5dx + dx2 Reorder the terms: 5dx + dy = -5dx + 5dx + -1dxy + dx2 Combine like terms: -5dx + 5dx = 0 5dx + dy = 0 + -1dxy + dx2 5dx + dy = -1dxy + dx2 Add 'dxy' to each side of the equation. 5dx + dxy + dy = -1dxy + dxy + dx2 Combine like terms: -1dxy + dxy = 0 5dx + dxy + dy = 0 + dx2 5dx + dxy + dy = dx2 Add '-1dx2' to each side of the equation. 5dx + dxy + -1dx2 + dy = dx2 + -1dx2 Combine like terms: dx2 + -1dx2 = 0 5dx + dxy + -1dx2 + dy = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(5x + xy + -1x2 + y) = 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 '(5x + xy + -1x2 + y)' equal to zero and attempt to solve: Simplifying 5x + xy + -1x2 + y = 0 Solving 5x + xy + -1x2 + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-5x' to each side of the equation. 5x + xy + -1x2 + -5x + y = 0 + -5x Reorder the terms: 5x + -5x + xy + -1x2 + y = 0 + -5x Combine like terms: 5x + -5x = 0 0 + xy + -1x2 + y = 0 + -5x xy + -1x2 + y = 0 + -5x Remove the zero: xy + -1x2 + y = -5x Add '-1xy' to each side of the equation. xy + -1x2 + -1xy + y = -5x + -1xy Reorder the terms: xy + -1xy + -1x2 + y = -5x + -1xy Combine like terms: xy + -1xy = 0 0 + -1x2 + y = -5x + -1xy -1x2 + y = -5x + -1xy Add 'x2' to each side of the equation. -1x2 + x2 + y = -5x + -1xy + x2 Combine like terms: -1x2 + x2 = 0 0 + y = -5x + -1xy + x2 y = -5x + -1xy + x2 Add '-1y' to each side of the equation. y + -1y = -5x + -1xy + x2 + -1y Combine like terms: y + -1y = 0 0 = -5x + -1xy + x2 + -1y Simplifying 0 = -5x + -1xy + x2 + -1y 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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