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Simplifying (10 + -6y + (e + -3x)) * dx + -2dy = 0 Remove parenthesis around (e + -3x) (10 + -6y + e + -3x) * dx + -2dy = 0 Reorder the terms: (10 + e + -3x + -6y) * dx + -2dy = 0 Reorder the terms for easier multiplication: dx(10 + e + -3x + -6y) + -2dy = 0 (10 * dx + e * dx + -3x * dx + -6y * dx) + -2dy = 0 Reorder the terms: (dex + 10dx + -6dxy + -3dx2) + -2dy = 0 (dex + 10dx + -6dxy + -3dx2) + -2dy = 0 Solving dex + 10dx + -6dxy + -3dx2 + -2dy = 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(ex + 10x + -6xy + -3x2 + -2y) = 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 '(ex + 10x + -6xy + -3x2 + -2y)' equal to zero and attempt to solve: Simplifying ex + 10x + -6xy + -3x2 + -2y = 0 Solving ex + 10x + -6xy + -3x2 + -2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1ex' to each side of the equation. ex + 10x + -6xy + -3x2 + -1ex + -2y = 0 + -1ex Reorder the terms: ex + -1ex + 10x + -6xy + -3x2 + -2y = 0 + -1ex Combine like terms: ex + -1ex = 0 0 + 10x + -6xy + -3x2 + -2y = 0 + -1ex 10x + -6xy + -3x2 + -2y = 0 + -1ex Remove the zero: 10x + -6xy + -3x2 + -2y = -1ex Add '-10x' to each side of the equation. 10x + -6xy + -3x2 + -10x + -2y = -1ex + -10x Reorder the terms: 10x + -10x + -6xy + -3x2 + -2y = -1ex + -10x Combine like terms: 10x + -10x = 0 0 + -6xy + -3x2 + -2y = -1ex + -10x -6xy + -3x2 + -2y = -1ex + -10x Add '6xy' to each side of the equation. -6xy + -3x2 + 6xy + -2y = -1ex + -10x + 6xy Reorder the terms: -6xy + 6xy + -3x2 + -2y = -1ex + -10x + 6xy Combine like terms: -6xy + 6xy = 0 0 + -3x2 + -2y = -1ex + -10x + 6xy -3x2 + -2y = -1ex + -10x + 6xy Add '3x2' to each side of the equation. -3x2 + 3x2 + -2y = -1ex + -10x + 6xy + 3x2 Combine like terms: -3x2 + 3x2 = 0 0 + -2y = -1ex + -10x + 6xy + 3x2 -2y = -1ex + -10x + 6xy + 3x2 Add '2y' to each side of the equation. -2y + 2y = -1ex + -10x + 6xy + 3x2 + 2y Combine like terms: -2y + 2y = 0 0 = -1ex + -10x + 6xy + 3x2 + 2y Simplifying 0 = -1ex + -10x + 6xy + 3x2 + 2y 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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