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Simplifying solvex(y2 + y + -2) * dx + (x + -4)(1 + 5y) * dy = 0 Reorder the terms: elosvx(-2 + y + y2) * dx + (x + -4)(1 + 5y) * dy = 0 Reorder the terms for easier multiplication: elosvx * dx(-2 + y + y2) + (x + -4)(1 + 5y) * dy = 0 Multiply elosvx * dx delosvx2(-2 + y + y2) + (x + -4)(1 + 5y) * dy = 0 (-2 * delosvx2 + y * delosvx2 + y2 * delosvx2) + (x + -4)(1 + 5y) * dy = 0 (-2delosvx2 + delosvx2y + delosvx2y2) + (x + -4)(1 + 5y) * dy = 0 Reorder the terms: -2delosvx2 + delosvx2y + delosvx2y2 + (-4 + x)(1 + 5y) * dy = 0 Reorder the terms for easier multiplication: -2delosvx2 + delosvx2y + delosvx2y2 + dy(-4 + x)(1 + 5y) = 0 Multiply (-4 + x) * (1 + 5y) -2delosvx2 + delosvx2y + delosvx2y2 + dy(-4(1 + 5y) + x(1 + 5y)) = 0 -2delosvx2 + delosvx2y + delosvx2y2 + dy((1 * -4 + 5y * -4) + x(1 + 5y)) = 0 -2delosvx2 + delosvx2y + delosvx2y2 + dy((-4 + -20y) + x(1 + 5y)) = 0 -2delosvx2 + delosvx2y + delosvx2y2 + dy(-4 + -20y + (1 * x + 5y * x)) = 0 -2delosvx2 + delosvx2y + delosvx2y2 + dy(-4 + -20y + (1x + 5xy)) = 0 Reorder the terms: -2delosvx2 + delosvx2y + delosvx2y2 + dy(-4 + 1x + 5xy + -20y) = 0 -2delosvx2 + delosvx2y + delosvx2y2 + dy(-4 + 1x + 5xy + -20y) = 0 -2delosvx2 + delosvx2y + delosvx2y2 + (-4 * dy + 1x * dy + 5xy * dy + -20y * dy) = 0 Reorder the terms: -2delosvx2 + delosvx2y + delosvx2y2 + (1dxy + 5dxy2 + -4dy + -20dy2) = 0 -2delosvx2 + delosvx2y + delosvx2y2 + (1dxy + 5dxy2 + -4dy + -20dy2) = 0 Solving -2delosvx2 + delosvx2y + delosvx2y2 + 1dxy + 5dxy2 + -4dy + -20dy2 = 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(-2elosvx2 + elosvx2y + elosvx2y2 + xy + 5xy2 + -4y + -20y2) = 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 '(-2elosvx2 + elosvx2y + elosvx2y2 + xy + 5xy2 + -4y + -20y2)' equal to zero and attempt to solve: Simplifying -2elosvx2 + elosvx2y + elosvx2y2 + xy + 5xy2 + -4y + -20y2 = 0 Solving -2elosvx2 + elosvx2y + elosvx2y2 + xy + 5xy2 + -4y + -20y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '2elosvx2' to each side of the equation. -2elosvx2 + elosvx2y + elosvx2y2 + xy + 5xy2 + -4y + 2elosvx2 + -20y2 = 0 + 2elosvx2 Reorder the terms: -2elosvx2 + 2elosvx2 + elosvx2y + elosvx2y2 + xy + 5xy2 + -4y + -20y2 = 0 + 2elosvx2 Combine like terms: -2elosvx2 + 2elosvx2 = 0 0 + elosvx2y + elosvx2y2 + xy + 5xy2 + -4y + -20y2 = 0 + 2elosvx2 elosvx2y + elosvx2y2 + xy + 5xy2 + -4y + -20y2 = 0 + 2elosvx2 Remove the zero: elosvx2y + elosvx2y2 + xy + 5xy2 + -4y + -20y2 = 2elosvx2 Add '-1elosvx2y' to each side of the equation. elosvx2y + elosvx2y2 + xy + 5xy2 + -4y + -1elosvx2y + -20y2 = 2elosvx2 + -1elosvx2y Reorder the terms: elosvx2y + -1elosvx2y + elosvx2y2 + xy + 5xy2 + -4y + -20y2 = 2elosvx2 + -1elosvx2y Combine like terms: elosvx2y + -1elosvx2y = 0 0 + elosvx2y2 + xy + 5xy2 + -4y + -20y2 = 2elosvx2 + -1elosvx2y elosvx2y2 + xy + 5xy2 + -4y + -20y2 = 2elosvx2 + -1elosvx2y Add '-1elosvx2y2' to each side of the equation. elosvx2y2 + xy + 5xy2 + -4y + -1elosvx2y2 + -20y2 = 2elosvx2 + -1elosvx2y + -1elosvx2y2 Reorder the terms: elosvx2y2 + -1elosvx2y2 + xy + 5xy2 + -4y + -20y2 = 2elosvx2 + -1elosvx2y + -1elosvx2y2 Combine like terms: elosvx2y2 + -1elosvx2y2 = 0 0 + xy + 5xy2 + -4y + -20y2 = 2elosvx2 + -1elosvx2y + -1elosvx2y2 xy + 5xy2 + -4y + -20y2 = 2elosvx2 + -1elosvx2y + -1elosvx2y2 Add '-1xy' to each side of the equation. xy + 5xy2 + -4y + -1xy + -20y2 = 2elosvx2 + -1elosvx2y + -1elosvx2y2 + -1xy Reorder the terms: xy + -1xy + 5xy2 + -4y + -20y2 = 2elosvx2 + -1elosvx2y + -1elosvx2y2 + -1xy Combine like terms: xy + -1xy = 0 0 + 5xy2 + -4y + -20y2 = 2elosvx2 + -1elosvx2y + -1elosvx2y2 + -1xy 5xy2 + -4y + -20y2 = 2elosvx2 + -1elosvx2y + -1elosvx2y2 + -1xy Add '-5xy2' to each side of the equation. 5xy2 + -4y + -5xy2 + -20y2 = 2elosvx2 + -1elosvx2y + -1elosvx2y2 + -1xy + -5xy2 Reorder the terms: 5xy2 + -5xy2 + -4y + -20y2 = 2elosvx2 + -1elosvx2y + -1elosvx2y2 + -1xy + -5xy2 Combine like terms: 5xy2 + -5xy2 = 0 0 + -4y + -20y2 = 2elosvx2 + -1elosvx2y + -1elosvx2y2 + -1xy + -5xy2 -4y + -20y2 = 2elosvx2 + -1elosvx2y + -1elosvx2y2 + -1xy + -5xy2 Add '4y' to each side of the equation. -4y + 4y + -20y2 = 2elosvx2 + -1elosvx2y + -1elosvx2y2 + -1xy + -5xy2 + 4y Combine like terms: -4y + 4y = 0 0 + -20y2 = 2elosvx2 + -1elosvx2y + -1elosvx2y2 + -1xy + -5xy2 + 4y -20y2 = 2elosvx2 + -1elosvx2y + -1elosvx2y2 + -1xy + -5xy2 + 4y Add '20y2' to each side of the equation. -20y2 + 20y2 = 2elosvx2 + -1elosvx2y + -1elosvx2y2 + -1xy + -5xy2 + 4y + 20y2 Combine like terms: -20y2 + 20y2 = 0 0 = 2elosvx2 + -1elosvx2y + -1elosvx2y2 + -1xy + -5xy2 + 4y + 20y2 Simplifying 0 = 2elosvx2 + -1elosvx2y + -1elosvx2y2 + -1xy + -5xy2 + 4y + 20y2 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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