(-20xy^2+6)+dx+(3y^2-20x^2y)dy=0

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Solution for (-20xy^2+6)+dx+(3y^2-20x^2y)dy=0 equation:


Simplifying
(-20xy2 + 6) + dx + (3y2 + -20x2y) * dy = 0

Reorder the terms:
(6 + -20xy2) + dx + (3y2 + -20x2y) * dy = 0

Remove parenthesis around (6 + -20xy2)
6 + -20xy2 + dx + (3y2 + -20x2y) * dy = 0

Reorder the terms:
6 + -20xy2 + dx + (-20x2y + 3y2) * dy = 0

Reorder the terms for easier multiplication:
6 + -20xy2 + dx + dy(-20x2y + 3y2) = 0
6 + -20xy2 + dx + (-20x2y * dy + 3y2 * dy) = 0
6 + -20xy2 + dx + (-20dx2y2 + 3dy3) = 0

Reorder the terms:
6 + dx + -20dx2y2 + 3dy3 + -20xy2 = 0

Solving
6 + dx + -20dx2y2 + 3dy3 + -20xy2 = 0

Solving for variable 'd'.

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

Add '-6' to each side of the equation.
6 + dx + -20dx2y2 + 3dy3 + -6 + -20xy2 = 0 + -6

Reorder the terms:
6 + -6 + dx + -20dx2y2 + 3dy3 + -20xy2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + dx + -20dx2y2 + 3dy3 + -20xy2 = 0 + -6
dx + -20dx2y2 + 3dy3 + -20xy2 = 0 + -6

Combine like terms: 0 + -6 = -6
dx + -20dx2y2 + 3dy3 + -20xy2 = -6

Add '20xy2' to each side of the equation.
dx + -20dx2y2 + 3dy3 + -20xy2 + 20xy2 = -6 + 20xy2

Combine like terms: -20xy2 + 20xy2 = 0
dx + -20dx2y2 + 3dy3 + 0 = -6 + 20xy2
dx + -20dx2y2 + 3dy3 = -6 + 20xy2

Reorder the terms:
6 + dx + -20dx2y2 + 3dy3 + -20xy2 = -6 + 20xy2 + 6 + -20xy2

Reorder the terms:
6 + dx + -20dx2y2 + 3dy3 + -20xy2 = -6 + 6 + 20xy2 + -20xy2

Combine like terms: -6 + 6 = 0
6 + dx + -20dx2y2 + 3dy3 + -20xy2 = 0 + 20xy2 + -20xy2
6 + dx + -20dx2y2 + 3dy3 + -20xy2 = 20xy2 + -20xy2

Combine like terms: 20xy2 + -20xy2 = 0
6 + dx + -20dx2y2 + 3dy3 + -20xy2 = 0

The solution to this equation could not be determined.

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