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Simplifying (x + -1y) * dx + -1(x + y) * dv = 0 Reorder the terms for easier multiplication: dx(x + -1y) + -1(x + y) * dv = 0 (x * dx + -1y * dx) + -1(x + y) * dv = 0 Reorder the terms: (-1dxy + dx2) + -1(x + y) * dv = 0 (-1dxy + dx2) + -1(x + y) * dv = 0 Reorder the terms for easier multiplication: -1dxy + dx2 + -1dv(x + y) = 0 -1dxy + dx2 + (x * -1dv + y * -1dv) = 0 -1dxy + dx2 + (-1dvx + -1dvy) = 0 Reorder the terms: -1dvx + -1dvy + -1dxy + dx2 = 0 Solving -1dvx + -1dvy + -1dxy + dx2 = 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(-1vx + -1vy + -1xy + x2) = 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 '(-1vx + -1vy + -1xy + x2)' equal to zero and attempt to solve: Simplifying -1vx + -1vy + -1xy + x2 = 0 Solving -1vx + -1vy + -1xy + x2 = 0 Move all terms containing d to the left, all other terms to the right. Add 'vx' to each side of the equation. -1vx + -1vy + -1xy + vx + x2 = 0 + vx Reorder the terms: -1vx + vx + -1vy + -1xy + x2 = 0 + vx Combine like terms: -1vx + vx = 0 0 + -1vy + -1xy + x2 = 0 + vx -1vy + -1xy + x2 = 0 + vx Remove the zero: -1vy + -1xy + x2 = vx Add 'vy' to each side of the equation. -1vy + -1xy + vy + x2 = vx + vy Reorder the terms: -1vy + vy + -1xy + x2 = vx + vy Combine like terms: -1vy + vy = 0 0 + -1xy + x2 = vx + vy -1xy + x2 = vx + vy Add 'xy' to each side of the equation. -1xy + xy + x2 = vx + vy + xy Combine like terms: -1xy + xy = 0 0 + x2 = vx + vy + xy x2 = vx + vy + xy Add '-1x2' to each side of the equation. x2 + -1x2 = vx + vy + xy + -1x2 Combine like terms: x2 + -1x2 = 0 0 = vx + vy + xy + -1x2 Simplifying 0 = vx + vy + xy + -1x2 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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