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Simplifying (7x2 + -2xy + 8) * dx + (2y2 + -1x2 + 7) * dy = 0 Reorder the terms: (8 + -2xy + 7x2) * dx + (2y2 + -1x2 + 7) * dy = 0 Reorder the terms for easier multiplication: dx(8 + -2xy + 7x2) + (2y2 + -1x2 + 7) * dy = 0 (8 * dx + -2xy * dx + 7x2 * dx) + (2y2 + -1x2 + 7) * dy = 0 (8dx + -2dx2y + 7dx3) + (2y2 + -1x2 + 7) * dy = 0 Reorder the terms: 8dx + -2dx2y + 7dx3 + (7 + -1x2 + 2y2) * dy = 0 Reorder the terms for easier multiplication: 8dx + -2dx2y + 7dx3 + dy(7 + -1x2 + 2y2) = 0 8dx + -2dx2y + 7dx3 + (7 * dy + -1x2 * dy + 2y2 * dy) = 0 Reorder the terms: 8dx + -2dx2y + 7dx3 + (-1dx2y + 7dy + 2dy3) = 0 8dx + -2dx2y + 7dx3 + (-1dx2y + 7dy + 2dy3) = 0 Reorder the terms: 8dx + -2dx2y + -1dx2y + 7dx3 + 7dy + 2dy3 = 0 Combine like terms: -2dx2y + -1dx2y = -3dx2y 8dx + -3dx2y + 7dx3 + 7dy + 2dy3 = 0 Solving 8dx + -3dx2y + 7dx3 + 7dy + 2dy3 = 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(8x + -3x2y + 7x3 + 7y + 2y3) = 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 '(8x + -3x2y + 7x3 + 7y + 2y3)' equal to zero and attempt to solve: Simplifying 8x + -3x2y + 7x3 + 7y + 2y3 = 0 Solving 8x + -3x2y + 7x3 + 7y + 2y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-8x' to each side of the equation. 8x + -3x2y + 7x3 + 7y + -8x + 2y3 = 0 + -8x Reorder the terms: 8x + -8x + -3x2y + 7x3 + 7y + 2y3 = 0 + -8x Combine like terms: 8x + -8x = 0 0 + -3x2y + 7x3 + 7y + 2y3 = 0 + -8x -3x2y + 7x3 + 7y + 2y3 = 0 + -8x Remove the zero: -3x2y + 7x3 + 7y + 2y3 = -8x Add '3x2y' to each side of the equation. -3x2y + 7x3 + 7y + 3x2y + 2y3 = -8x + 3x2y Reorder the terms: -3x2y + 3x2y + 7x3 + 7y + 2y3 = -8x + 3x2y Combine like terms: -3x2y + 3x2y = 0 0 + 7x3 + 7y + 2y3 = -8x + 3x2y 7x3 + 7y + 2y3 = -8x + 3x2y Add '-7x3' to each side of the equation. 7x3 + 7y + -7x3 + 2y3 = -8x + 3x2y + -7x3 Reorder the terms: 7x3 + -7x3 + 7y + 2y3 = -8x + 3x2y + -7x3 Combine like terms: 7x3 + -7x3 = 0 0 + 7y + 2y3 = -8x + 3x2y + -7x3 7y + 2y3 = -8x + 3x2y + -7x3 Add '-7y' to each side of the equation. 7y + -7y + 2y3 = -8x + 3x2y + -7x3 + -7y Combine like terms: 7y + -7y = 0 0 + 2y3 = -8x + 3x2y + -7x3 + -7y 2y3 = -8x + 3x2y + -7x3 + -7y Add '-2y3' to each side of the equation. 2y3 + -2y3 = -8x + 3x2y + -7x3 + -7y + -2y3 Combine like terms: 2y3 + -2y3 = 0 0 = -8x + 3x2y + -7x3 + -7y + -2y3 Simplifying 0 = -8x + 3x2y + -7x3 + -7y + -2y3 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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