(2x+3y-5)+(3x+2y-5)dy=0

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Solution for (2x+3y-5)+(3x+2y-5)dy=0 equation: 


Simplifying
(2x + 3y + -5) + (3x + 2y + -5) * dy = 0

Reorder the terms:
(-5 + 2x + 3y) + (3x + 2y + -5) * dy = 0

Remove parenthesis around (-5 + 2x + 3y)
-5 + 2x + 3y + (3x + 2y + -5) * dy = 0

Reorder the terms:
-5 + 2x + 3y + (-5 + 3x + 2y) * dy = 0

Reorder the terms for easier multiplication:
-5 + 2x + 3y + dy(-5 + 3x + 2y) = 0
-5 + 2x + 3y + (-5 * dy + 3x * dy + 2y * dy) = 0

Reorder the terms:
-5 + 2x + 3y + (3dxy + -5dy + 2dy2) = 0
-5 + 2x + 3y + (3dxy + -5dy + 2dy2) = 0

Reorder the terms:
-5 + 3dxy + -5dy + 2dy2 + 2x + 3y = 0

Solving
-5 + 3dxy + -5dy + 2dy2 + 2x + 3y = 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 + 3dxy + -5dy + 2dy2 + 2x + 5 + 3y = 0 + 5

Reorder the terms:
-5 + 5 + 3dxy + -5dy + 2dy2 + 2x + 3y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3dxy + -5dy + 2dy2 + 2x + 3y = 0 + 5
3dxy + -5dy + 2dy2 + 2x + 3y = 0 + 5

Combine like terms: 0 + 5 = 5
3dxy + -5dy + 2dy2 + 2x + 3y = 5

Add '-2x' to each side of the equation.
3dxy + -5dy + 2dy2 + 2x + -2x + 3y = 5 + -2x

Combine like terms: 2x + -2x = 0
3dxy + -5dy + 2dy2 + 0 + 3y = 5 + -2x
3dxy + -5dy + 2dy2 + 3y = 5 + -2x

Add '-3y' to each side of the equation.
3dxy + -5dy + 2dy2 + 3y + -3y = 5 + -2x + -3y

Combine like terms: 3y + -3y = 0
3dxy + -5dy + 2dy2 + 0 = 5 + -2x + -3y
3dxy + -5dy + 2dy2 = 5 + -2x + -3y

Reorder the terms:
-5 + 3dxy + -5dy + 2dy2 + 2x + 3y = 5 + -2x + -3y + -5 + 2x + 3y

Reorder the terms:
-5 + 3dxy + -5dy + 2dy2 + 2x + 3y = 5 + -5 + -2x + 2x + -3y + 3y

Combine like terms: 5 + -5 = 0
-5 + 3dxy + -5dy + 2dy2 + 2x + 3y = 0 + -2x + 2x + -3y + 3y
-5 + 3dxy + -5dy + 2dy2 + 2x + 3y = -2x + 2x + -3y + 3y

Combine like terms: -2x + 2x = 0
-5 + 3dxy + -5dy + 2dy2 + 2x + 3y = 0 + -3y + 3y
-5 + 3dxy + -5dy + 2dy2 + 2x + 3y = -3y + 3y

Combine like terms: -3y + 3y = 0
-5 + 3dxy + -5dy + 2dy2 + 2x + 3y = 0

The solution to this equation could not be determined.

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