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

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


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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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