(3(x^2)+4(xy))dx+(2(x^2)+2y)=0

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Solution for (3(x^2)+4(xy))dx+(2(x^2)+2y)=0 equation:


Simplifying
(3(x2) + 4(xy)) * dx + (2(x2) + 2y) = 0

Reorder the terms:
(4xy + 3x2) * dx + (2(x2) + 2y) = 0

Reorder the terms for easier multiplication:
dx(4xy + 3x2) + (2(x2) + 2y) = 0
(4xy * dx + 3x2 * dx) + (2(x2) + 2y) = 0
(4dx2y + 3dx3) + (2(x2) + 2y) = 0

Remove parenthesis around (2x2 + 2y)
4dx2y + 3dx3 + 2x2 + 2y = 0

Solving
4dx2y + 3dx3 + 2x2 + 2y = 0

Solving for variable 'd'.

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

Add '-2x2' to each side of the equation.
4dx2y + 3dx3 + 2x2 + -2x2 + 2y = 0 + -2x2

Combine like terms: 2x2 + -2x2 = 0
4dx2y + 3dx3 + 0 + 2y = 0 + -2x2
4dx2y + 3dx3 + 2y = 0 + -2x2
Remove the zero:
4dx2y + 3dx3 + 2y = -2x2

Add '-2y' to each side of the equation.
4dx2y + 3dx3 + 2y + -2y = -2x2 + -2y

Combine like terms: 2y + -2y = 0
4dx2y + 3dx3 + 0 = -2x2 + -2y
4dx2y + 3dx3 = -2x2 + -2y

Reorder the terms:
4dx2y + 3dx3 + 2x2 + 2y = -2x2 + 2x2 + -2y + 2y

Combine like terms: -2x2 + 2x2 = 0
4dx2y + 3dx3 + 2x2 + 2y = 0 + -2y + 2y
4dx2y + 3dx3 + 2x2 + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
4dx2y + 3dx3 + 2x2 + 2y = 0

The solution to this equation could not be determined.

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