(-3x^2-3xy^4)dx=(y^2-6x^2y^3)dy

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Solution for (-3x^2-3xy^4)dx=(y^2-6x^2y^3)dy equation:


Simplifying
(-3x2 + -3xy4) * dx = (y2 + -6x2y3) * dy

Reorder the terms:
(-3xy4 + -3x2) * dx = (y2 + -6x2y3) * dy

Reorder the terms for easier multiplication:
dx(-3xy4 + -3x2) = (y2 + -6x2y3) * dy
(-3xy4 * dx + -3x2 * dx) = (y2 + -6x2y3) * dy
(-3dx2y4 + -3dx3) = (y2 + -6x2y3) * dy

Reorder the terms:
-3dx2y4 + -3dx3 = (-6x2y3 + y2) * dy

Reorder the terms for easier multiplication:
-3dx2y4 + -3dx3 = dy(-6x2y3 + y2)
-3dx2y4 + -3dx3 = (-6x2y3 * dy + y2 * dy)
-3dx2y4 + -3dx3 = (-6dx2y4 + dy3)

Solving
-3dx2y4 + -3dx3 = -6dx2y4 + dy3

Solving for variable 'd'.

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

Add '6dx2y4' to each side of the equation.
-3dx2y4 + 6dx2y4 + -3dx3 = -6dx2y4 + 6dx2y4 + dy3

Combine like terms: -3dx2y4 + 6dx2y4 = 3dx2y4
3dx2y4 + -3dx3 = -6dx2y4 + 6dx2y4 + dy3

Combine like terms: -6dx2y4 + 6dx2y4 = 0
3dx2y4 + -3dx3 = 0 + dy3
3dx2y4 + -3dx3 = dy3

Add '-1dy3' to each side of the equation.
3dx2y4 + -3dx3 + -1dy3 = dy3 + -1dy3

Combine like terms: dy3 + -1dy3 = 0
3dx2y4 + -3dx3 + -1dy3 = 0

Factor out the Greatest Common Factor (GCF), 'd'.
d(3x2y4 + -3x3 + -1y3) = 0

Subproblem 1

Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0

Subproblem 2

Set the factor '(3x2y4 + -3x3 + -1y3)' equal to zero and attempt to solve: Simplifying 3x2y4 + -3x3 + -1y3 = 0 Solving 3x2y4 + -3x3 + -1y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-3x2y4' to each side of the equation. 3x2y4 + -3x3 + -3x2y4 + -1y3 = 0 + -3x2y4 Reorder the terms: 3x2y4 + -3x2y4 + -3x3 + -1y3 = 0 + -3x2y4 Combine like terms: 3x2y4 + -3x2y4 = 0 0 + -3x3 + -1y3 = 0 + -3x2y4 -3x3 + -1y3 = 0 + -3x2y4 Remove the zero: -3x3 + -1y3 = -3x2y4 Add '3x3' to each side of the equation. -3x3 + 3x3 + -1y3 = -3x2y4 + 3x3 Combine like terms: -3x3 + 3x3 = 0 0 + -1y3 = -3x2y4 + 3x3 -1y3 = -3x2y4 + 3x3 Add 'y3' to each side of the equation. -1y3 + y3 = -3x2y4 + 3x3 + y3 Combine like terms: -1y3 + y3 = 0 0 = -3x2y4 + 3x3 + y3 Simplifying 0 = -3x2y4 + 3x3 + y3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

d = {0}

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