(x+y+1)dx=(2x+2y-1)

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Solution for (x+y+1)dx=(2x+2y-1) equation:


Simplifying
(x + y + 1) * dx = (2x + 2y + -1)

Reorder the terms:
(1 + x + y) * dx = (2x + 2y + -1)

Reorder the terms for easier multiplication:
dx(1 + x + y) = (2x + 2y + -1)
(1 * dx + x * dx + y * dx) = (2x + 2y + -1)

Reorder the terms:
(1dx + dxy + dx2) = (2x + 2y + -1)
(1dx + dxy + dx2) = (2x + 2y + -1)

Reorder the terms:
1dx + dxy + dx2 = (-1 + 2x + 2y)

Remove parenthesis around (-1 + 2x + 2y)
1dx + dxy + dx2 = -1 + 2x + 2y

Solving
1dx + dxy + dx2 = -1 + 2x + 2y

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Reorder the terms:
1 + 1dx + dxy + dx2 + -2x + -2y = -1 + 2x + 2y + 1 + -2x + -2y

Reorder the terms:
1 + 1dx + dxy + dx2 + -2x + -2y = -1 + 1 + 2x + -2x + 2y + -2y

Combine like terms: -1 + 1 = 0
1 + 1dx + dxy + dx2 + -2x + -2y = 0 + 2x + -2x + 2y + -2y
1 + 1dx + dxy + dx2 + -2x + -2y = 2x + -2x + 2y + -2y

Combine like terms: 2x + -2x = 0
1 + 1dx + dxy + dx2 + -2x + -2y = 0 + 2y + -2y
1 + 1dx + dxy + dx2 + -2x + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
1 + 1dx + dxy + dx2 + -2x + -2y = 0

The solution to this equation could not be determined.

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