(4x^3y-15-y)dx+(x^4+3y^2-x)dy=0

Simple and best practice solution for (4x^3y-15-y)dx+(x^4+3y^2-x)dy=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (4x^3y-15-y)dx+(x^4+3y^2-x)dy=0 equation: 


Simplifying
(4x3y + -15 + -1y) * dx + (x4 + 3y2 + -1x) * dy = 0

Reorder the terms:
(-15 + 4x3y + -1y) * dx + (x4 + 3y2 + -1x) * dy = 0

Reorder the terms for easier multiplication:
dx(-15 + 4x3y + -1y) + (x4 + 3y2 + -1x) * dy = 0
(-15 * dx + 4x3y * dx + -1y * dx) + (x4 + 3y2 + -1x) * dy = 0

Reorder the terms:
(-15dx + -1dxy + 4dx4y) + (x4 + 3y2 + -1x) * dy = 0
(-15dx + -1dxy + 4dx4y) + (x4 + 3y2 + -1x) * dy = 0

Reorder the terms:
-15dx + -1dxy + 4dx4y + (-1x + x4 + 3y2) * dy = 0

Reorder the terms for easier multiplication:
-15dx + -1dxy + 4dx4y + dy(-1x + x4 + 3y2) = 0
-15dx + -1dxy + 4dx4y + (-1x * dy + x4 * dy + 3y2 * dy) = 0
-15dx + -1dxy + 4dx4y + (-1dxy + dx4y + 3dy3) = 0

Reorder the terms:
-15dx + -1dxy + -1dxy + 4dx4y + dx4y + 3dy3 = 0

Combine like terms: -1dxy + -1dxy = -2dxy
-15dx + -2dxy + 4dx4y + dx4y + 3dy3 = 0

Combine like terms: 4dx4y + dx4y = 5dx4y
-15dx + -2dxy + 5dx4y + 3dy3 = 0

Solving
-15dx + -2dxy + 5dx4y + 3dy3 = 0

Solving for variable 'd'.

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

Factor out the Greatest Common Factor (GCF), 'd'.
d(-15x + -2xy + 5x4y + 3y3) = 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 '(-15x + -2xy + 5x4y + 3y3)' equal to zero and attempt to solve:

Simplifying
-15x + -2xy + 5x4y + 3y3 = 0

Solving
-15x + -2xy + 5x4y + 3y3 = 0

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

Add '15x' to each side of the equation.
-15x + -2xy + 5x4y + 15x + 3y3 = 0 + 15x

Reorder the terms:
-15x + 15x + -2xy + 5x4y + 3y3 = 0 + 15x

Combine like terms: -15x + 15x = 0
0 + -2xy + 5x4y + 3y3 = 0 + 15x
-2xy + 5x4y + 3y3 = 0 + 15x
Remove the zero:
-2xy + 5x4y + 3y3 = 15x

Add '2xy' to each side of the equation.
-2xy + 5x4y + 2xy + 3y3 = 15x + 2xy

Reorder the terms:
-2xy + 2xy + 5x4y + 3y3 = 15x + 2xy

Combine like terms: -2xy + 2xy = 0
0 + 5x4y + 3y3 = 15x + 2xy
5x4y + 3y3 = 15x + 2xy

Add '-5x4y' to each side of the equation.
5x4y + -5x4y + 3y3 = 15x + 2xy + -5x4y

Combine like terms: 5x4y + -5x4y = 0
0 + 3y3 = 15x + 2xy + -5x4y
3y3 = 15x + 2xy + -5x4y

Add '-3y3' to each side of the equation.
3y3 + -3y3 = 15x + 2xy + -5x4y + -3y3

Combine like terms: 3y3 + -3y3 = 0
0 = 15x + 2xy + -5x4y + -3y3

Simplifying
0 = 15x + 2xy + -5x4y + -3y3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

See similar equations:

| 3e-(-9)=-23 | | 250-y=225x | | 16-(-9)= | | 8x-3(2x-1)=9 | | 24x^2-72x+59=0 | | 6(3x-4)(2x+3)=0 | | 7(x-7)= | | .3x+.5(7-2x)=17.5 | | 17=p-12 | | 16-(9)= | | (2x+1)(x+5)= | | (x+3)(5x-6)=0 | | 17x(300y)=y(83x) | | 17-(2m+3)=3+4m-19 | | 17x(300y)=y | | x+3(1-2x)=-7 | | 17x(300)=y | | c=a(9a-b) | | a=c(9c-b) | | 2y+6=-4 | | 6b+8=-42 | | 3x-2(7-x)=1 | | 6+y-6=0 | | 3x+8x-6x=15+5 | | 2.5x+1.75y=r | | 5y+2(y-3)=4(y+1)-2 | | 4f-6=3f-5f-18 | | w^4+64=0 | | 10x-25x^3= | | (7y+23)(9y+29)=0 | | x/412 | | 2x+6(x+1)=30 |

Equations solver categories