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Simplifying (3y + -7x + -3) * dx + (7y + -3x + -7) * dy = 0 Reorder the terms: (-3 + -7x + 3y) * dx + (7y + -3x + -7) * dy = 0 Reorder the terms for easier multiplication: dx(-3 + -7x + 3y) + (7y + -3x + -7) * dy = 0 (-3 * dx + -7x * dx + 3y * dx) + (7y + -3x + -7) * dy = 0 Reorder the terms: (-3dx + 3dxy + -7dx2) + (7y + -3x + -7) * dy = 0 (-3dx + 3dxy + -7dx2) + (7y + -3x + -7) * dy = 0 Reorder the terms: -3dx + 3dxy + -7dx2 + (-7 + -3x + 7y) * dy = 0 Reorder the terms for easier multiplication: -3dx + 3dxy + -7dx2 + dy(-7 + -3x + 7y) = 0 -3dx + 3dxy + -7dx2 + (-7 * dy + -3x * dy + 7y * dy) = 0 Reorder the terms: -3dx + 3dxy + -7dx2 + (-3dxy + -7dy + 7dy2) = 0 -3dx + 3dxy + -7dx2 + (-3dxy + -7dy + 7dy2) = 0 Reorder the terms: -3dx + 3dxy + -3dxy + -7dx2 + -7dy + 7dy2 = 0 Combine like terms: 3dxy + -3dxy = 0 -3dx + 0 + -7dx2 + -7dy + 7dy2 = 0 -3dx + -7dx2 + -7dy + 7dy2 = 0 Solving -3dx + -7dx2 + -7dy + 7dy2 = 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 + -7x2 + -7y + 7y2) = 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 + -7x2 + -7y + 7y2)' equal to zero and attempt to solve: Simplifying -3x + -7x2 + -7y + 7y2 = 0 Solving -3x + -7x2 + -7y + 7y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '3x' to each side of the equation. -3x + -7x2 + -7y + 3x + 7y2 = 0 + 3x Reorder the terms: -3x + 3x + -7x2 + -7y + 7y2 = 0 + 3x Combine like terms: -3x + 3x = 0 0 + -7x2 + -7y + 7y2 = 0 + 3x -7x2 + -7y + 7y2 = 0 + 3x Remove the zero: -7x2 + -7y + 7y2 = 3x Add '7x2' to each side of the equation. -7x2 + -7y + 7x2 + 7y2 = 3x + 7x2 Reorder the terms: -7x2 + 7x2 + -7y + 7y2 = 3x + 7x2 Combine like terms: -7x2 + 7x2 = 0 0 + -7y + 7y2 = 3x + 7x2 -7y + 7y2 = 3x + 7x2 Add '7y' to each side of the equation. -7y + 7y + 7y2 = 3x + 7x2 + 7y Combine like terms: -7y + 7y = 0 0 + 7y2 = 3x + 7x2 + 7y 7y2 = 3x + 7x2 + 7y Add '-7y2' to each side of the equation. 7y2 + -7y2 = 3x + 7x2 + 7y + -7y2 Combine like terms: 7y2 + -7y2 = 0 0 = 3x + 7x2 + 7y + -7y2 Simplifying 0 = 3x + 7x2 + 7y + -7y2 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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