(x+2y-1)dx+(2x+4y-3)=0

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Solution for (x+2y-1)dx+(2x+4y-3)=0 equation: 


Simplifying
(x + 2y + -1) * dx + (2x + 4y + -3) = 0

Reorder the terms:
(-1 + x + 2y) * dx + (2x + 4y + -3) = 0

Reorder the terms for easier multiplication:
dx(-1 + x + 2y) + (2x + 4y + -3) = 0
(-1 * dx + x * dx + 2y * dx) + (2x + 4y + -3) = 0

Reorder the terms:
(-1dx + 2dxy + dx2) + (2x + 4y + -3) = 0
(-1dx + 2dxy + dx2) + (2x + 4y + -3) = 0

Reorder the terms:
-1dx + 2dxy + dx2 + (-3 + 2x + 4y) = 0

Remove parenthesis around (-3 + 2x + 4y)
-1dx + 2dxy + dx2 + -3 + 2x + 4y = 0

Reorder the terms:
-3 + -1dx + 2dxy + dx2 + 2x + 4y = 0

Solving
-3 + -1dx + 2dxy + dx2 + 2x + 4y = 0

Solving for variable 'd'.

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

Add '3' to each side of the equation.
-3 + -1dx + 2dxy + dx2 + 2x + 3 + 4y = 0 + 3

Reorder the terms:
-3 + 3 + -1dx + 2dxy + dx2 + 2x + 4y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1dx + 2dxy + dx2 + 2x + 4y = 0 + 3
-1dx + 2dxy + dx2 + 2x + 4y = 0 + 3

Combine like terms: 0 + 3 = 3
-1dx + 2dxy + dx2 + 2x + 4y = 3

Add '-2x' to each side of the equation.
-1dx + 2dxy + dx2 + 2x + -2x + 4y = 3 + -2x

Combine like terms: 2x + -2x = 0
-1dx + 2dxy + dx2 + 0 + 4y = 3 + -2x
-1dx + 2dxy + dx2 + 4y = 3 + -2x

Add '-4y' to each side of the equation.
-1dx + 2dxy + dx2 + 4y + -4y = 3 + -2x + -4y

Combine like terms: 4y + -4y = 0
-1dx + 2dxy + dx2 + 0 = 3 + -2x + -4y
-1dx + 2dxy + dx2 = 3 + -2x + -4y

Reorder the terms:
-3 + -1dx + 2dxy + dx2 + 2x + 4y = 3 + -2x + -4y + -3 + 2x + 4y

Reorder the terms:
-3 + -1dx + 2dxy + dx2 + 2x + 4y = 3 + -3 + -2x + 2x + -4y + 4y

Combine like terms: 3 + -3 = 0
-3 + -1dx + 2dxy + dx2 + 2x + 4y = 0 + -2x + 2x + -4y + 4y
-3 + -1dx + 2dxy + dx2 + 2x + 4y = -2x + 2x + -4y + 4y

Combine like terms: -2x + 2x = 0
-3 + -1dx + 2dxy + dx2 + 2x + 4y = 0 + -4y + 4y
-3 + -1dx + 2dxy + dx2 + 2x + 4y = -4y + 4y

Combine like terms: -4y + 4y = 0
-3 + -1dx + 2dxy + dx2 + 2x + 4y = 0

The solution to this equation could not be determined.

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