solve(x+2y)*(dx-dy)=dx+dy

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Solution for solve(x+2y)*(dx-dy)=dx+dy equation: 


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) = 0


Subproblem 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 = 0

Subproblem 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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