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Simplifying solve(x + 2y)(dx + -1dy) = dx + dy Multiply (x + 2y) * (dx + -1dy) elosv(x(dx + -1dy) + 2y * (dx + -1dy)) = dx + dy elosv((dx * x + -1dy * x) + 2y * (dx + -1dy)) = dx + dy Reorder the terms: elosv((-1dxy + dx2) + 2y * (dx + -1dy)) = dx + dy elosv((-1dxy + dx2) + 2y * (dx + -1dy)) = dx + dy elosv(-1dxy + dx2 + (dx * 2y + -1dy * 2y)) = dx + dy elosv(-1dxy + dx2 + (2dxy + -2dy2)) = dx + dy Reorder the terms: elosv(-1dxy + 2dxy + dx2 + -2dy2) = dx + dy Combine like terms: -1dxy + 2dxy = 1dxy elosv(1dxy + dx2 + -2dy2) = dx + dy (1dxy * elosv + dx2 * elosv + -2dy2 * elosv) = dx + dy (1delosvxy + delosvx2 + -2delosvy2) = dx + dy Solving 1delosvxy + delosvx2 + -2delosvy2 = dx + dy Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dx' to each side of the equation. 1delosvxy + delosvx2 + -2delosvy2 + -1dx = dx + -1dx + dy Combine like terms: dx + -1dx = 0 1delosvxy + delosvx2 + -2delosvy2 + -1dx = 0 + dy 1delosvxy + delosvx2 + -2delosvy2 + -1dx = dy Add '-1dy' to each side of the equation. 1delosvxy + delosvx2 + -2delosvy2 + -1dx + -1dy = dy + -1dy Combine like terms: dy + -1dy = 0 1delosvxy + delosvx2 + -2delosvy2 + -1dx + -1dy = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(elosvxy + elosvx2 + -2elosvy2 + -1x + -1y) = 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 '(elosvxy + elosvx2 + -2elosvy2 + -1x + -1y)' equal to zero and attempt to solve: Simplifying elosvxy + elosvx2 + -2elosvy2 + -1x + -1y = 0 Solving elosvxy + elosvx2 + -2elosvy2 + -1x + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1elosvxy' to each side of the equation. elosvxy + elosvx2 + -2elosvy2 + -1x + -1elosvxy + -1y = 0 + -1elosvxy Reorder the terms: elosvxy + -1elosvxy + elosvx2 + -2elosvy2 + -1x + -1y = 0 + -1elosvxy Combine like terms: elosvxy + -1elosvxy = 0 0 + elosvx2 + -2elosvy2 + -1x + -1y = 0 + -1elosvxy elosvx2 + -2elosvy2 + -1x + -1y = 0 + -1elosvxy Remove the zero: elosvx2 + -2elosvy2 + -1x + -1y = -1elosvxy Add '-1elosvx2' to each side of the equation. elosvx2 + -2elosvy2 + -1x + -1elosvx2 + -1y = -1elosvxy + -1elosvx2 Reorder the terms: elosvx2 + -1elosvx2 + -2elosvy2 + -1x + -1y = -1elosvxy + -1elosvx2 Combine like terms: elosvx2 + -1elosvx2 = 0 0 + -2elosvy2 + -1x + -1y = -1elosvxy + -1elosvx2 -2elosvy2 + -1x + -1y = -1elosvxy + -1elosvx2 Add '2elosvy2' to each side of the equation. -2elosvy2 + -1x + 2elosvy2 + -1y = -1elosvxy + -1elosvx2 + 2elosvy2 Reorder the terms: -2elosvy2 + 2elosvy2 + -1x + -1y = -1elosvxy + -1elosvx2 + 2elosvy2 Combine like terms: -2elosvy2 + 2elosvy2 = 0 0 + -1x + -1y = -1elosvxy + -1elosvx2 + 2elosvy2 -1x + -1y = -1elosvxy + -1elosvx2 + 2elosvy2 Add 'x' to each side of the equation. -1x + x + -1y = -1elosvxy + -1elosvx2 + 2elosvy2 + x Combine like terms: -1x + x = 0 0 + -1y = -1elosvxy + -1elosvx2 + 2elosvy2 + x -1y = -1elosvxy + -1elosvx2 + 2elosvy2 + x Add 'y' to each side of the equation. -1y + y = -1elosvxy + -1elosvx2 + 2elosvy2 + x + y Combine like terms: -1y + y = 0 0 = -1elosvxy + -1elosvx2 + 2elosvy2 + x + y Simplifying 0 = -1elosvxy + -1elosvx2 + 2elosvy2 + x + y 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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