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

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


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

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

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

Reorder the terms for easier multiplication:
-5 + 3x + dy(x + y) = 0
-5 + 3x + (x * dy + y * dy) = 0
-5 + 3x + (dxy + dy2) = 0

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

Solving
-5 + dxy + dy2 + 3x = 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 + dxy + dy2 + 5 + 3x = 0 + 5

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

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

Combine like terms: 0 + 5 = 5
dxy + dy2 + 3x = 5

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

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

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

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

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

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

The solution to this equation could not be determined.

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