(3x^2-2xy+2)dx+(6y^2-x^2+3)=0

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Solution for (3x^2-2xy+2)dx+(6y^2-x^2+3)=0 equation:


Simplifying
(3x2 + -2xy + 2) * dx + (6y2 + -1x2 + 3) = 0

Reorder the terms:
(2 + -2xy + 3x2) * dx + (6y2 + -1x2 + 3) = 0

Reorder the terms for easier multiplication:
dx(2 + -2xy + 3x2) + (6y2 + -1x2 + 3) = 0
(2 * dx + -2xy * dx + 3x2 * dx) + (6y2 + -1x2 + 3) = 0
(2dx + -2dx2y + 3dx3) + (6y2 + -1x2 + 3) = 0

Reorder the terms:
2dx + -2dx2y + 3dx3 + (3 + -1x2 + 6y2) = 0

Remove parenthesis around (3 + -1x2 + 6y2)
2dx + -2dx2y + 3dx3 + 3 + -1x2 + 6y2 = 0

Reorder the terms:
3 + 2dx + -2dx2y + 3dx3 + -1x2 + 6y2 = 0

Solving
3 + 2dx + -2dx2y + 3dx3 + -1x2 + 6y2 = 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 + 2dx + -2dx2y + 3dx3 + -1x2 + -3 + 6y2 = 0 + -3

Reorder the terms:
3 + -3 + 2dx + -2dx2y + 3dx3 + -1x2 + 6y2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2dx + -2dx2y + 3dx3 + -1x2 + 6y2 = 0 + -3
2dx + -2dx2y + 3dx3 + -1x2 + 6y2 = 0 + -3

Combine like terms: 0 + -3 = -3
2dx + -2dx2y + 3dx3 + -1x2 + 6y2 = -3

Add 'x2' to each side of the equation.
2dx + -2dx2y + 3dx3 + -1x2 + x2 + 6y2 = -3 + x2

Combine like terms: -1x2 + x2 = 0
2dx + -2dx2y + 3dx3 + 0 + 6y2 = -3 + x2
2dx + -2dx2y + 3dx3 + 6y2 = -3 + x2

Add '-6y2' to each side of the equation.
2dx + -2dx2y + 3dx3 + 6y2 + -6y2 = -3 + x2 + -6y2

Combine like terms: 6y2 + -6y2 = 0
2dx + -2dx2y + 3dx3 + 0 = -3 + x2 + -6y2
2dx + -2dx2y + 3dx3 = -3 + x2 + -6y2

Reorder the terms:
3 + 2dx + -2dx2y + 3dx3 + -1x2 + 6y2 = -3 + x2 + -6y2 + 3 + -1x2 + 6y2

Reorder the terms:
3 + 2dx + -2dx2y + 3dx3 + -1x2 + 6y2 = -3 + 3 + x2 + -1x2 + -6y2 + 6y2

Combine like terms: -3 + 3 = 0
3 + 2dx + -2dx2y + 3dx3 + -1x2 + 6y2 = 0 + x2 + -1x2 + -6y2 + 6y2
3 + 2dx + -2dx2y + 3dx3 + -1x2 + 6y2 = x2 + -1x2 + -6y2 + 6y2

Combine like terms: x2 + -1x2 = 0
3 + 2dx + -2dx2y + 3dx3 + -1x2 + 6y2 = 0 + -6y2 + 6y2
3 + 2dx + -2dx2y + 3dx3 + -1x2 + 6y2 = -6y2 + 6y2

Combine like terms: -6y2 + 6y2 = 0
3 + 2dx + -2dx2y + 3dx3 + -1x2 + 6y2 = 0

The solution to this equation could not be determined.

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