(3x^2+4y^2)dx+(8xy+y^2)dy=0

Simple and best practice solution for (3x^2+4y^2)dx+(8xy+y^2)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 (3x^2+4y^2)dx+(8xy+y^2)dy=0 equation: 


Simplifying
(3x2 + 4y2) * dx + (8xy + y2) * dy = 0

Reorder the terms for easier multiplication:
dx(3x2 + 4y2) + (8xy + y2) * dy = 0
(3x2 * dx + 4y2 * dx) + (8xy + y2) * dy = 0

Reorder the terms:
(4dxy2 + 3dx3) + (8xy + y2) * dy = 0
(4dxy2 + 3dx3) + (8xy + y2) * dy = 0

Reorder the terms for easier multiplication:
4dxy2 + 3dx3 + dy(8xy + y2) = 0
4dxy2 + 3dx3 + (8xy * dy + y2 * dy) = 0
4dxy2 + 3dx3 + (8dxy2 + dy3) = 0

Reorder the terms:
4dxy2 + 8dxy2 + 3dx3 + dy3 = 0

Combine like terms: 4dxy2 + 8dxy2 = 12dxy2
12dxy2 + 3dx3 + dy3 = 0

Solving
12dxy2 + 3dx3 + dy3 = 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(12xy2 + 3x3 + y3) = 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 '(12xy2 + 3x3 + y3)' equal to zero and attempt to solve:

Simplifying
12xy2 + 3x3 + y3 = 0

Solving
12xy2 + 3x3 + y3 = 0

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

Add '-12xy2' to each side of the equation.
12xy2 + 3x3 + -12xy2 + y3 = 0 + -12xy2

Reorder the terms:
12xy2 + -12xy2 + 3x3 + y3 = 0 + -12xy2

Combine like terms: 12xy2 + -12xy2 = 0
0 + 3x3 + y3 = 0 + -12xy2
3x3 + y3 = 0 + -12xy2
Remove the zero:
3x3 + y3 = -12xy2

Add '-3x3' to each side of the equation.
3x3 + -3x3 + y3 = -12xy2 + -3x3

Combine like terms: 3x3 + -3x3 = 0
0 + y3 = -12xy2 + -3x3
y3 = -12xy2 + -3x3

Add '-1y3' to each side of the equation.
y3 + -1y3 = -12xy2 + -3x3 + -1y3

Combine like terms: y3 + -1y3 = 0
0 = -12xy2 + -3x3 + -1y3

Simplifying
0 = -12xy2 + -3x3 + -1y3

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:

| 2x-2=3+x-1 | | ax=bx+12 | | -4-4k=-56 | | 2b(3b-5)= | | 4x^2+4x-9=5x+3 | | x^4-4x^3+7x^2=0 | | -4(b+17)=20 | | 2N+4=2n+8 | | -9df-4h=3g | | -2(10+n)=-18 | | 43+7m=9(m-3)+3m | | dx-fx=4 | | x+17=3x-18+17 | | 6-12a=-30 | | 24=3+b(4) | | 11y+33=66 | | 3x-14=13+x+9 | | 216=6z | | 12=x+5+16x-10 | | 0.2x-1.6=2.4x+1.5 | | v=3.14*1.25*2 | | 5(-6)+11=2(-6)-7 | | 4x+9=7x+12 | | (9-5i)(4-9i)=0 | | -(-5+x)=9 | | -bx=7+3x | | v=pi*1.25*2 | | 8f+24=3f+59 | | -5(7v+1)=-285 | | 0.65x+0.05(20-x)=0.10(106) | | 19=14x-14+x+3 | | 1+5x=49 |

Equations solver categories