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