(12x+5y-9)dx+(5x+2y-3)=0

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Solution for (12x+5y-9)dx+(5x+2y-3)=0 equation:


Simplifying
(12x + 5y + -9) * dx + (5x + 2y + -3) = 0

Reorder the terms:
(-9 + 12x + 5y) * dx + (5x + 2y + -3) = 0

Reorder the terms for easier multiplication:
dx(-9 + 12x + 5y) + (5x + 2y + -3) = 0
(-9 * dx + 12x * dx + 5y * dx) + (5x + 2y + -3) = 0

Reorder the terms:
(-9dx + 5dxy + 12dx2) + (5x + 2y + -3) = 0
(-9dx + 5dxy + 12dx2) + (5x + 2y + -3) = 0

Reorder the terms:
-9dx + 5dxy + 12dx2 + (-3 + 5x + 2y) = 0

Remove parenthesis around (-3 + 5x + 2y)
-9dx + 5dxy + 12dx2 + -3 + 5x + 2y = 0

Reorder the terms:
-3 + -9dx + 5dxy + 12dx2 + 5x + 2y = 0

Solving
-3 + -9dx + 5dxy + 12dx2 + 5x + 2y = 0

Solving for variable 'd'.

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

Add '3' to each side of the equation.
-3 + -9dx + 5dxy + 12dx2 + 5x + 3 + 2y = 0 + 3

Reorder the terms:
-3 + 3 + -9dx + 5dxy + 12dx2 + 5x + 2y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -9dx + 5dxy + 12dx2 + 5x + 2y = 0 + 3
-9dx + 5dxy + 12dx2 + 5x + 2y = 0 + 3

Combine like terms: 0 + 3 = 3
-9dx + 5dxy + 12dx2 + 5x + 2y = 3

Add '-5x' to each side of the equation.
-9dx + 5dxy + 12dx2 + 5x + -5x + 2y = 3 + -5x

Combine like terms: 5x + -5x = 0
-9dx + 5dxy + 12dx2 + 0 + 2y = 3 + -5x
-9dx + 5dxy + 12dx2 + 2y = 3 + -5x

Add '-2y' to each side of the equation.
-9dx + 5dxy + 12dx2 + 2y + -2y = 3 + -5x + -2y

Combine like terms: 2y + -2y = 0
-9dx + 5dxy + 12dx2 + 0 = 3 + -5x + -2y
-9dx + 5dxy + 12dx2 = 3 + -5x + -2y

Reorder the terms:
-3 + -9dx + 5dxy + 12dx2 + 5x + 2y = 3 + -5x + -2y + -3 + 5x + 2y

Reorder the terms:
-3 + -9dx + 5dxy + 12dx2 + 5x + 2y = 3 + -3 + -5x + 5x + -2y + 2y

Combine like terms: 3 + -3 = 0
-3 + -9dx + 5dxy + 12dx2 + 5x + 2y = 0 + -5x + 5x + -2y + 2y
-3 + -9dx + 5dxy + 12dx2 + 5x + 2y = -5x + 5x + -2y + 2y

Combine like terms: -5x + 5x = 0
-3 + -9dx + 5dxy + 12dx2 + 5x + 2y = 0 + -2y + 2y
-3 + -9dx + 5dxy + 12dx2 + 5x + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
-3 + -9dx + 5dxy + 12dx2 + 5x + 2y = 0

The solution to this equation could not be determined.

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