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Simplifying (X + -3y + 3) * dx + (3x + y + 9) * dy = 0 Reorder the terms: (3 + X + -3y) * dx + (3x + y + 9) * dy = 0 Reorder the terms for easier multiplication: dx(3 + X + -3y) + (3x + y + 9) * dy = 0 (3 * dx + X * dx + -3y * dx) + (3x + y + 9) * dy = 0 (3dx + dxX + -3dxy) + (3x + y + 9) * dy = 0 Reorder the terms: 3dx + dxX + -3dxy + (9 + 3x + y) * dy = 0 Reorder the terms for easier multiplication: 3dx + dxX + -3dxy + dy(9 + 3x + y) = 0 3dx + dxX + -3dxy + (9 * dy + 3x * dy + y * dy) = 0 Reorder the terms: 3dx + dxX + -3dxy + (3dxy + 9dy + dy2) = 0 3dx + dxX + -3dxy + (3dxy + 9dy + dy2) = 0 Combine like terms: -3dxy + 3dxy = 0 3dx + dxX + 0 + 9dy + dy2 = 0 3dx + dxX + 9dy + dy2 = 0 Solving 3dx + dxX + 9dy + dy2 = 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(3x + xX + 9y + y2) = 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 '(3x + xX + 9y + y2)' equal to zero and attempt to solve: Simplifying 3x + xX + 9y + y2 = 0 Solving 3x + xX + 9y + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-3x' to each side of the equation. 3x + xX + 9y + -3x + y2 = 0 + -3x Reorder the terms: 3x + -3x + xX + 9y + y2 = 0 + -3x Combine like terms: 3x + -3x = 0 0 + xX + 9y + y2 = 0 + -3x xX + 9y + y2 = 0 + -3x Remove the zero: xX + 9y + y2 = -3x Add '-1xX' to each side of the equation. xX + 9y + -1xX + y2 = -3x + -1xX Reorder the terms: xX + -1xX + 9y + y2 = -3x + -1xX Combine like terms: xX + -1xX = 0 0 + 9y + y2 = -3x + -1xX 9y + y2 = -3x + -1xX Add '-9y' to each side of the equation. 9y + -9y + y2 = -3x + -1xX + -9y Combine like terms: 9y + -9y = 0 0 + y2 = -3x + -1xX + -9y y2 = -3x + -1xX + -9y Add '-1y2' to each side of the equation. y2 + -1y2 = -3x + -1xX + -9y + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -3x + -1xX + -9y + -1y2 Simplifying 0 = -3x + -1xX + -9y + -1y2 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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