(x^2+4)dy=(2x-10xy)dx

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Solution for (x^2+4)dy=(2x-10xy)dx equation: 


Simplifying
(x2 + 4) * dy = (2x + -10xy) * dx

Reorder the terms:
(4 + x2) * dy = (2x + -10xy) * dx

Reorder the terms for easier multiplication:
dy(4 + x2) = (2x + -10xy) * dx
(4 * dy + x2 * dy) = (2x + -10xy) * dx

Reorder the terms:
(dx2y + 4dy) = (2x + -10xy) * dx
(dx2y + 4dy) = (2x + -10xy) * dx

Reorder the terms for easier multiplication:
dx2y + 4dy = dx(2x + -10xy)
dx2y + 4dy = (2x * dx + -10xy * dx)
dx2y + 4dy = (2dx2 + -10dx2y)

Solving
dx2y + 4dy = 2dx2 + -10dx2y

Solving for variable 'd'.

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

Add '-2dx2' to each side of the equation.
dx2y + -2dx2 + 4dy = 2dx2 + -2dx2 + -10dx2y

Reorder the terms:
-2dx2 + dx2y + 4dy = 2dx2 + -2dx2 + -10dx2y

Combine like terms: 2dx2 + -2dx2 = 0
-2dx2 + dx2y + 4dy = 0 + -10dx2y
-2dx2 + dx2y + 4dy = -10dx2y

Add '10dx2y' to each side of the equation.
-2dx2 + dx2y + 10dx2y + 4dy = -10dx2y + 10dx2y

Combine like terms: dx2y + 10dx2y = 11dx2y
-2dx2 + 11dx2y + 4dy = -10dx2y + 10dx2y

Combine like terms: -10dx2y + 10dx2y = 0
-2dx2 + 11dx2y + 4dy = 0

Factor out the Greatest Common Factor (GCF), 'd'.
d(-2x2 + 11x2y + 4y) = 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 '(-2x2 + 11x2y + 4y)' equal to zero and attempt to solve:

Simplifying
-2x2 + 11x2y + 4y = 0

Solving
-2x2 + 11x2y + 4y = 0

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

Add '2x2' to each side of the equation.
-2x2 + 11x2y + 2x2 + 4y = 0 + 2x2

Reorder the terms:
-2x2 + 2x2 + 11x2y + 4y = 0 + 2x2

Combine like terms: -2x2 + 2x2 = 0
0 + 11x2y + 4y = 0 + 2x2
11x2y + 4y = 0 + 2x2
Remove the zero:
11x2y + 4y = 2x2

Add '-11x2y' to each side of the equation.
11x2y + -11x2y + 4y = 2x2 + -11x2y

Combine like terms: 11x2y + -11x2y = 0
0 + 4y = 2x2 + -11x2y
4y = 2x2 + -11x2y

Add '-4y' to each side of the equation.
4y + -4y = 2x2 + -11x2y + -4y

Combine like terms: 4y + -4y = 0
0 = 2x2 + -11x2y + -4y

Simplifying
0 = 2x2 + -11x2y + -4y

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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