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Simplifying (2x + -1y + 4) * dy = (-1x + 2y + -5) * dx Reorder the terms: (4 + 2x + -1y) * dy = (-1x + 2y + -5) * dx Reorder the terms for easier multiplication: dy(4 + 2x + -1y) = (-1x + 2y + -5) * dx (4 * dy + 2x * dy + -1y * dy) = (-1x + 2y + -5) * dx Reorder the terms: (2dxy + 4dy + -1dy2) = (-1x + 2y + -5) * dx (2dxy + 4dy + -1dy2) = (-1x + 2y + -5) * dx Reorder the terms: 2dxy + 4dy + -1dy2 = (-5 + -1x + 2y) * dx Reorder the terms for easier multiplication: 2dxy + 4dy + -1dy2 = dx(-5 + -1x + 2y) 2dxy + 4dy + -1dy2 = (-5 * dx + -1x * dx + 2y * dx) Reorder the terms: 2dxy + 4dy + -1dy2 = (-5dx + 2dxy + -1dx2) 2dxy + 4dy + -1dy2 = (-5dx + 2dxy + -1dx2) Add '-2dxy' to each side of the equation. 2dxy + 4dy + -2dxy + -1dy2 = -5dx + 2dxy + -2dxy + -1dx2 Reorder the terms: 2dxy + -2dxy + 4dy + -1dy2 = -5dx + 2dxy + -2dxy + -1dx2 Combine like terms: 2dxy + -2dxy = 0 0 + 4dy + -1dy2 = -5dx + 2dxy + -2dxy + -1dx2 4dy + -1dy2 = -5dx + 2dxy + -2dxy + -1dx2 Combine like terms: 2dxy + -2dxy = 0 4dy + -1dy2 = -5dx + 0 + -1dx2 4dy + -1dy2 = -5dx + -1dx2 Solving 4dy + -1dy2 = -5dx + -1dx2 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. 4dy + 5dx + -1dy2 = -5dx + 5dx + -1dx2 Reorder the terms: 5dx + 4dy + -1dy2 = -5dx + 5dx + -1dx2 Combine like terms: -5dx + 5dx = 0 5dx + 4dy + -1dy2 = 0 + -1dx2 5dx + 4dy + -1dy2 = -1dx2 Add 'dx2' to each side of the equation. 5dx + 4dy + dx2 + -1dy2 = -1dx2 + dx2 Reorder the terms: 5dx + dx2 + 4dy + -1dy2 = -1dx2 + dx2 Combine like terms: -1dx2 + dx2 = 0 5dx + dx2 + 4dy + -1dy2 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(5x + x2 + 4y + -1y2) = 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 + x2 + 4y + -1y2)' equal to zero and attempt to solve: Simplifying 5x + x2 + 4y + -1y2 = 0 Solving 5x + x2 + 4y + -1y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-5x' to each side of the equation. 5x + x2 + 4y + -5x + -1y2 = 0 + -5x Reorder the terms: 5x + -5x + x2 + 4y + -1y2 = 0 + -5x Combine like terms: 5x + -5x = 0 0 + x2 + 4y + -1y2 = 0 + -5x x2 + 4y + -1y2 = 0 + -5x Remove the zero: x2 + 4y + -1y2 = -5x Add '-1x2' to each side of the equation. x2 + 4y + -1x2 + -1y2 = -5x + -1x2 Reorder the terms: x2 + -1x2 + 4y + -1y2 = -5x + -1x2 Combine like terms: x2 + -1x2 = 0 0 + 4y + -1y2 = -5x + -1x2 4y + -1y2 = -5x + -1x2 Add '-4y' to each side of the equation. 4y + -4y + -1y2 = -5x + -1x2 + -4y Combine like terms: 4y + -4y = 0 0 + -1y2 = -5x + -1x2 + -4y -1y2 = -5x + -1x2 + -4y Add 'y2' to each side of the equation. -1y2 + y2 = -5x + -1x2 + -4y + y2 Combine like terms: -1y2 + y2 = 0 0 = -5x + -1x2 + -4y + y2 Simplifying 0 = -5x + -1x2 + -4y + y2 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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