(2x+3y-5)dy=-(2x+3y+1)

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Solution for (2x+3y-5)dy=-(2x+3y+1) equation:


Simplifying
(2x + 3y + -5) * dy = -1(2x + 3y + 1)

Reorder the terms:
(-5 + 2x + 3y) * dy = -1(2x + 3y + 1)

Reorder the terms for easier multiplication:
dy(-5 + 2x + 3y) = -1(2x + 3y + 1)
(-5 * dy + 2x * dy + 3y * dy) = -1(2x + 3y + 1)

Reorder the terms:
(2dxy + -5dy + 3dy2) = -1(2x + 3y + 1)
(2dxy + -5dy + 3dy2) = -1(2x + 3y + 1)

Reorder the terms:
2dxy + -5dy + 3dy2 = -1(1 + 2x + 3y)
2dxy + -5dy + 3dy2 = (1 * -1 + 2x * -1 + 3y * -1)
2dxy + -5dy + 3dy2 = (-1 + -2x + -3y)

Solving
2dxy + -5dy + 3dy2 = -1 + -2x + -3y

Solving for variable 'd'.

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

Reorder the terms:
1 + 2dxy + -5dy + 3dy2 + 2x + 3y = -1 + -2x + -3y + 1 + 2x + 3y

Reorder the terms:
1 + 2dxy + -5dy + 3dy2 + 2x + 3y = -1 + 1 + -2x + 2x + -3y + 3y

Combine like terms: -1 + 1 = 0
1 + 2dxy + -5dy + 3dy2 + 2x + 3y = 0 + -2x + 2x + -3y + 3y
1 + 2dxy + -5dy + 3dy2 + 2x + 3y = -2x + 2x + -3y + 3y

Combine like terms: -2x + 2x = 0
1 + 2dxy + -5dy + 3dy2 + 2x + 3y = 0 + -3y + 3y
1 + 2dxy + -5dy + 3dy2 + 2x + 3y = -3y + 3y

Combine like terms: -3y + 3y = 0
1 + 2dxy + -5dy + 3dy2 + 2x + 3y = 0

The solution to this equation could not be determined.

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