(X+2y-1)dx+(2x+4y+1)=0

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Solution for (X+2y-1)dx+(2x+4y+1)=0 equation: 


Simplifying
(X + 2y + -1) * dx + (2x + 4y + 1) = 0

Reorder the terms:
(-1 + X + 2y) * dx + (2x + 4y + 1) = 0

Reorder the terms for easier multiplication:
dx(-1 + X + 2y) + (2x + 4y + 1) = 0
(-1 * dx + X * dx + 2y * dx) + (2x + 4y + 1) = 0
(-1dx + dxX + 2dxy) + (2x + 4y + 1) = 0

Reorder the terms:
-1dx + dxX + 2dxy + (1 + 2x + 4y) = 0

Remove parenthesis around (1 + 2x + 4y)
-1dx + dxX + 2dxy + 1 + 2x + 4y = 0

Reorder the terms:
1 + -1dx + dxX + 2dxy + 2x + 4y = 0

Solving
1 + -1dx + dxX + 2dxy + 2x + 4y = 0

Solving for variable 'd'.

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

Add '-1' to each side of the equation.
1 + -1dx + dxX + 2dxy + 2x + -1 + 4y = 0 + -1

Reorder the terms:
1 + -1 + -1dx + dxX + 2dxy + 2x + 4y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1dx + dxX + 2dxy + 2x + 4y = 0 + -1
-1dx + dxX + 2dxy + 2x + 4y = 0 + -1

Combine like terms: 0 + -1 = -1
-1dx + dxX + 2dxy + 2x + 4y = -1

Add '-2x' to each side of the equation.
-1dx + dxX + 2dxy + 2x + -2x + 4y = -1 + -2x

Combine like terms: 2x + -2x = 0
-1dx + dxX + 2dxy + 0 + 4y = -1 + -2x
-1dx + dxX + 2dxy + 4y = -1 + -2x

Add '-4y' to each side of the equation.
-1dx + dxX + 2dxy + 4y + -4y = -1 + -2x + -4y

Combine like terms: 4y + -4y = 0
-1dx + dxX + 2dxy + 0 = -1 + -2x + -4y
-1dx + dxX + 2dxy = -1 + -2x + -4y

Reorder the terms:
1 + -1dx + dxX + 2dxy + 2x + 4y = -1 + -2x + -4y + 1 + 2x + 4y

Reorder the terms:
1 + -1dx + dxX + 2dxy + 2x + 4y = -1 + 1 + -2x + 2x + -4y + 4y

Combine like terms: -1 + 1 = 0
1 + -1dx + dxX + 2dxy + 2x + 4y = 0 + -2x + 2x + -4y + 4y
1 + -1dx + dxX + 2dxy + 2x + 4y = -2x + 2x + -4y + 4y

Combine like terms: -2x + 2x = 0
1 + -1dx + dxX + 2dxy + 2x + 4y = 0 + -4y + 4y
1 + -1dx + dxX + 2dxy + 2x + 4y = -4y + 4y

Combine like terms: -4y + 4y = 0
1 + -1dx + dxX + 2dxy + 2x + 4y = 0

The solution to this equation could not be determined.

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