(x-2y+5)+(2x-y+4)dy=0

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Solution for (x-2y+5)+(2x-y+4)dy=0 equation: 


Simplifying
(x + -2y + 5) + (2x + -1y + 4) * dy = 0

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

Remove parenthesis around (5 + x + -2y)
5 + x + -2y + (2x + -1y + 4) * dy = 0

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

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

Reorder the terms:
5 + x + -2y + (2dxy + 4dy + -1dy2) = 0
5 + x + -2y + (2dxy + 4dy + -1dy2) = 0

Reorder the terms:
5 + 2dxy + 4dy + -1dy2 + x + -2y = 0

Solving
5 + 2dxy + 4dy + -1dy2 + x + -2y = 0

Solving for variable 'd'.

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

Add '-5' to each side of the equation.
5 + 2dxy + 4dy + -1dy2 + x + -5 + -2y = 0 + -5

Reorder the terms:
5 + -5 + 2dxy + 4dy + -1dy2 + x + -2y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2dxy + 4dy + -1dy2 + x + -2y = 0 + -5
2dxy + 4dy + -1dy2 + x + -2y = 0 + -5

Combine like terms: 0 + -5 = -5
2dxy + 4dy + -1dy2 + x + -2y = -5

Add '-1x' to each side of the equation.
2dxy + 4dy + -1dy2 + x + -1x + -2y = -5 + -1x

Combine like terms: x + -1x = 0
2dxy + 4dy + -1dy2 + 0 + -2y = -5 + -1x
2dxy + 4dy + -1dy2 + -2y = -5 + -1x

Add '2y' to each side of the equation.
2dxy + 4dy + -1dy2 + -2y + 2y = -5 + -1x + 2y

Combine like terms: -2y + 2y = 0
2dxy + 4dy + -1dy2 + 0 = -5 + -1x + 2y
2dxy + 4dy + -1dy2 = -5 + -1x + 2y

Reorder the terms:
5 + 2dxy + 4dy + -1dy2 + x + -2y = -5 + -1x + 2y + 5 + x + -2y

Reorder the terms:
5 + 2dxy + 4dy + -1dy2 + x + -2y = -5 + 5 + -1x + x + 2y + -2y

Combine like terms: -5 + 5 = 0
5 + 2dxy + 4dy + -1dy2 + x + -2y = 0 + -1x + x + 2y + -2y
5 + 2dxy + 4dy + -1dy2 + x + -2y = -1x + x + 2y + -2y

Combine like terms: -1x + x = 0
5 + 2dxy + 4dy + -1dy2 + x + -2y = 0 + 2y + -2y
5 + 2dxy + 4dy + -1dy2 + x + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
5 + 2dxy + 4dy + -1dy2 + x + -2y = 0

The solution to this equation could not be determined.

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