(x+3y-4)DX+(x+4y-5)day=0

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Solution for (x+3y-4)DX+(x+4y-5)day=0 equation:


Simplifying
(x + 3y + -4) * DX + (x + 4y + -5) * day = 0

Reorder the terms:
(-4 + x + 3y) * DX + (x + 4y + -5) * day = 0

Reorder the terms for easier multiplication:
DX(-4 + x + 3y) + (x + 4y + -5) * day = 0
(-4 * DX + x * DX + 3y * DX) + (x + 4y + -5) * day = 0
(-4DX + xDX + 3yDX) + (x + 4y + -5) * day = 0

Reorder the terms:
-4DX + xDX + 3yDX + (-5 + x + 4y) * day = 0

Reorder the terms for easier multiplication:
-4DX + xDX + 3yDX + ady(-5 + x + 4y) = 0
-4DX + xDX + 3yDX + (-5 * ady + x * ady + 4y * ady) = 0

Reorder the terms:
-4DX + xDX + 3yDX + (adxy + -5ady + 4ady2) = 0
-4DX + xDX + 3yDX + (adxy + -5ady + 4ady2) = 0

Reorder the terms:
-4DX + adxy + -5ady + 4ady2 + xDX + 3yDX = 0

Solving
-4DX + adxy + -5ady + 4ady2 + xDX + 3yDX = 0

Solving for variable 'D'.

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

Add '-1adxy' to each side of the equation.
-4DX + adxy + -5ady + 4ady2 + xDX + -1adxy + 3yDX = 0 + -1adxy

Reorder the terms:
-4DX + adxy + -1adxy + -5ady + 4ady2 + xDX + 3yDX = 0 + -1adxy

Combine like terms: adxy + -1adxy = 0
-4DX + 0 + -5ady + 4ady2 + xDX + 3yDX = 0 + -1adxy
-4DX + -5ady + 4ady2 + xDX + 3yDX = 0 + -1adxy
Remove the zero:
-4DX + -5ady + 4ady2 + xDX + 3yDX = -1adxy

Add '5ady' to each side of the equation.
-4DX + -5ady + 4ady2 + xDX + 5ady + 3yDX = -1adxy + 5ady

Reorder the terms:
-4DX + -5ady + 5ady + 4ady2 + xDX + 3yDX = -1adxy + 5ady

Combine like terms: -5ady + 5ady = 0
-4DX + 0 + 4ady2 + xDX + 3yDX = -1adxy + 5ady
-4DX + 4ady2 + xDX + 3yDX = -1adxy + 5ady

Add '-4ady2' to each side of the equation.
-4DX + 4ady2 + xDX + -4ady2 + 3yDX = -1adxy + 5ady + -4ady2

Reorder the terms:
-4DX + 4ady2 + -4ady2 + xDX + 3yDX = -1adxy + 5ady + -4ady2

Combine like terms: 4ady2 + -4ady2 = 0
-4DX + 0 + xDX + 3yDX = -1adxy + 5ady + -4ady2
-4DX + xDX + 3yDX = -1adxy + 5ady + -4ady2

Reorder the terms:
-4DX + adxy + -5ady + 4ady2 + xDX + 3yDX = -1adxy + 5ady + -4ady2 + adxy + -5ady + 4ady2

Reorder the terms:
-4DX + adxy + -5ady + 4ady2 + xDX + 3yDX = -1adxy + adxy + 5ady + -5ady + -4ady2 + 4ady2

Combine like terms: -1adxy + adxy = 0
-4DX + adxy + -5ady + 4ady2 + xDX + 3yDX = 0 + 5ady + -5ady + -4ady2 + 4ady2
-4DX + adxy + -5ady + 4ady2 + xDX + 3yDX = 5ady + -5ady + -4ady2 + 4ady2

Combine like terms: 5ady + -5ady = 0
-4DX + adxy + -5ady + 4ady2 + xDX + 3yDX = 0 + -4ady2 + 4ady2
-4DX + adxy + -5ady + 4ady2 + xDX + 3yDX = -4ady2 + 4ady2

Combine like terms: -4ady2 + 4ady2 = 0
-4DX + adxy + -5ady + 4ady2 + xDX + 3yDX = 0

The solution to this equation could not be determined.

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