(x+2y+2)dx+(-3x-6y+4)=0

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Solution for (x+2y+2)dx+(-3x-6y+4)=0 equation:


Simplifying
(x + 2y + 2) * dx + (-3x + -6y + 4) = 0

Reorder the terms:
(2 + x + 2y) * dx + (-3x + -6y + 4) = 0

Reorder the terms for easier multiplication:
dx(2 + x + 2y) + (-3x + -6y + 4) = 0
(2 * dx + x * dx + 2y * dx) + (-3x + -6y + 4) = 0

Reorder the terms:
(2dx + 2dxy + dx2) + (-3x + -6y + 4) = 0
(2dx + 2dxy + dx2) + (-3x + -6y + 4) = 0

Reorder the terms:
2dx + 2dxy + dx2 + (4 + -3x + -6y) = 0

Remove parenthesis around (4 + -3x + -6y)
2dx + 2dxy + dx2 + 4 + -3x + -6y = 0

Reorder the terms:
4 + 2dx + 2dxy + dx2 + -3x + -6y = 0

Solving
4 + 2dx + 2dxy + dx2 + -3x + -6y = 0

Solving for variable 'd'.

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

Add '-4' to each side of the equation.
4 + 2dx + 2dxy + dx2 + -3x + -4 + -6y = 0 + -4

Reorder the terms:
4 + -4 + 2dx + 2dxy + dx2 + -3x + -6y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 2dx + 2dxy + dx2 + -3x + -6y = 0 + -4
2dx + 2dxy + dx2 + -3x + -6y = 0 + -4

Combine like terms: 0 + -4 = -4
2dx + 2dxy + dx2 + -3x + -6y = -4

Add '3x' to each side of the equation.
2dx + 2dxy + dx2 + -3x + 3x + -6y = -4 + 3x

Combine like terms: -3x + 3x = 0
2dx + 2dxy + dx2 + 0 + -6y = -4 + 3x
2dx + 2dxy + dx2 + -6y = -4 + 3x

Add '6y' to each side of the equation.
2dx + 2dxy + dx2 + -6y + 6y = -4 + 3x + 6y

Combine like terms: -6y + 6y = 0
2dx + 2dxy + dx2 + 0 = -4 + 3x + 6y
2dx + 2dxy + dx2 = -4 + 3x + 6y

Reorder the terms:
4 + 2dx + 2dxy + dx2 + -3x + -6y = -4 + 3x + 6y + 4 + -3x + -6y

Reorder the terms:
4 + 2dx + 2dxy + dx2 + -3x + -6y = -4 + 4 + 3x + -3x + 6y + -6y

Combine like terms: -4 + 4 = 0
4 + 2dx + 2dxy + dx2 + -3x + -6y = 0 + 3x + -3x + 6y + -6y
4 + 2dx + 2dxy + dx2 + -3x + -6y = 3x + -3x + 6y + -6y

Combine like terms: 3x + -3x = 0
4 + 2dx + 2dxy + dx2 + -3x + -6y = 0 + 6y + -6y
4 + 2dx + 2dxy + dx2 + -3x + -6y = 6y + -6y

Combine like terms: 6y + -6y = 0
4 + 2dx + 2dxy + dx2 + -3x + -6y = 0

The solution to this equation could not be determined.

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