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Simplifying dy = (3x + 2y + -7) * dx Reorder the terms: dy = (-7 + 3x + 2y) * dx Reorder the terms for easier multiplication: dy = dx(-7 + 3x + 2y) dy = (-7 * dx + 3x * dx + 2y * dx) Reorder the terms: dy = (-7dx + 2dxy + 3dx2) dy = (-7dx + 2dxy + 3dx2) Solving dy = -7dx + 2dxy + 3dx2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '7dx' to each side of the equation. 7dx + dy = -7dx + 2dxy + 7dx + 3dx2 Reorder the terms: 7dx + dy = -7dx + 7dx + 2dxy + 3dx2 Combine like terms: -7dx + 7dx = 0 7dx + dy = 0 + 2dxy + 3dx2 7dx + dy = 2dxy + 3dx2 Add '-2dxy' to each side of the equation. 7dx + -2dxy + dy = 2dxy + -2dxy + 3dx2 Combine like terms: 2dxy + -2dxy = 0 7dx + -2dxy + dy = 0 + 3dx2 7dx + -2dxy + dy = 3dx2 Add '-3dx2' to each side of the equation. 7dx + -2dxy + -3dx2 + dy = 3dx2 + -3dx2 Combine like terms: 3dx2 + -3dx2 = 0 7dx + -2dxy + -3dx2 + dy = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(7x + -2xy + -3x2 + 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 '(7x + -2xy + -3x2 + y)' equal to zero and attempt to solve: Simplifying 7x + -2xy + -3x2 + y = 0 Solving 7x + -2xy + -3x2 + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-7x' to each side of the equation. 7x + -2xy + -3x2 + -7x + y = 0 + -7x Reorder the terms: 7x + -7x + -2xy + -3x2 + y = 0 + -7x Combine like terms: 7x + -7x = 0 0 + -2xy + -3x2 + y = 0 + -7x -2xy + -3x2 + y = 0 + -7x Remove the zero: -2xy + -3x2 + y = -7x Add '2xy' to each side of the equation. -2xy + -3x2 + 2xy + y = -7x + 2xy Reorder the terms: -2xy + 2xy + -3x2 + y = -7x + 2xy Combine like terms: -2xy + 2xy = 0 0 + -3x2 + y = -7x + 2xy -3x2 + y = -7x + 2xy Add '3x2' to each side of the equation. -3x2 + 3x2 + y = -7x + 2xy + 3x2 Combine like terms: -3x2 + 3x2 = 0 0 + y = -7x + 2xy + 3x2 y = -7x + 2xy + 3x2 Add '-1y' to each side of the equation. y + -1y = -7x + 2xy + 3x2 + -1y Combine like terms: y + -1y = 0 0 = -7x + 2xy + 3x2 + -1y Simplifying 0 = -7x + 2xy + 3x2 + -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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