(2x^2+3y^2-7)dx-(3x^2+2y^2-8)=0

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Solution for (2x^2+3y^2-7)dx-(3x^2+2y^2-8)=0 equation:


Simplifying
(2x2 + 3y2 + -7) * dx + -1(3x2 + 2y2 + -8) = 0

Reorder the terms:
(-7 + 2x2 + 3y2) * dx + -1(3x2 + 2y2 + -8) = 0

Reorder the terms for easier multiplication:
dx(-7 + 2x2 + 3y2) + -1(3x2 + 2y2 + -8) = 0
(-7 * dx + 2x2 * dx + 3y2 * dx) + -1(3x2 + 2y2 + -8) = 0

Reorder the terms:
(-7dx + 3dxy2 + 2dx3) + -1(3x2 + 2y2 + -8) = 0
(-7dx + 3dxy2 + 2dx3) + -1(3x2 + 2y2 + -8) = 0

Reorder the terms:
-7dx + 3dxy2 + 2dx3 + -1(-8 + 3x2 + 2y2) = 0
-7dx + 3dxy2 + 2dx3 + (-8 * -1 + 3x2 * -1 + 2y2 * -1) = 0
-7dx + 3dxy2 + 2dx3 + (8 + -3x2 + -2y2) = 0

Reorder the terms:
8 + -7dx + 3dxy2 + 2dx3 + -3x2 + -2y2 = 0

Solving
8 + -7dx + 3dxy2 + 2dx3 + -3x2 + -2y2 = 0

Solving for variable 'd'.

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

Add '-8' to each side of the equation.
8 + -7dx + 3dxy2 + 2dx3 + -3x2 + -8 + -2y2 = 0 + -8

Reorder the terms:
8 + -8 + -7dx + 3dxy2 + 2dx3 + -3x2 + -2y2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7dx + 3dxy2 + 2dx3 + -3x2 + -2y2 = 0 + -8
-7dx + 3dxy2 + 2dx3 + -3x2 + -2y2 = 0 + -8

Combine like terms: 0 + -8 = -8
-7dx + 3dxy2 + 2dx3 + -3x2 + -2y2 = -8

Add '3x2' to each side of the equation.
-7dx + 3dxy2 + 2dx3 + -3x2 + 3x2 + -2y2 = -8 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-7dx + 3dxy2 + 2dx3 + 0 + -2y2 = -8 + 3x2
-7dx + 3dxy2 + 2dx3 + -2y2 = -8 + 3x2

Add '2y2' to each side of the equation.
-7dx + 3dxy2 + 2dx3 + -2y2 + 2y2 = -8 + 3x2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
-7dx + 3dxy2 + 2dx3 + 0 = -8 + 3x2 + 2y2
-7dx + 3dxy2 + 2dx3 = -8 + 3x2 + 2y2

Reorder the terms:
8 + -7dx + 3dxy2 + 2dx3 + -3x2 + -2y2 = -8 + 3x2 + 2y2 + 8 + -3x2 + -2y2

Reorder the terms:
8 + -7dx + 3dxy2 + 2dx3 + -3x2 + -2y2 = -8 + 8 + 3x2 + -3x2 + 2y2 + -2y2

Combine like terms: -8 + 8 = 0
8 + -7dx + 3dxy2 + 2dx3 + -3x2 + -2y2 = 0 + 3x2 + -3x2 + 2y2 + -2y2
8 + -7dx + 3dxy2 + 2dx3 + -3x2 + -2y2 = 3x2 + -3x2 + 2y2 + -2y2

Combine like terms: 3x2 + -3x2 = 0
8 + -7dx + 3dxy2 + 2dx3 + -3x2 + -2y2 = 0 + 2y2 + -2y2
8 + -7dx + 3dxy2 + 2dx3 + -3x2 + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
8 + -7dx + 3dxy2 + 2dx3 + -3x2 + -2y2 = 0

The solution to this equation could not be determined.

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