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

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


Simplifying
(4y + 3x) * dy + (4 + -2x) * dx = 0

Reorder the terms:
(3x + 4y) * dy + (4 + -2x) * dx = 0

Reorder the terms for easier multiplication:
dy(3x + 4y) + (4 + -2x) * dx = 0
(3x * dy + 4y * dy) + (4 + -2x) * dx = 0
(3dxy + 4dy2) + (4 + -2x) * dx = 0

Reorder the terms for easier multiplication:
3dxy + 4dy2 + dx(4 + -2x) = 0
3dxy + 4dy2 + (4 * dx + -2x * dx) = 0
3dxy + 4dy2 + (4dx + -2dx2) = 0

Reorder the terms:
4dx + 3dxy + -2dx2 + 4dy2 = 0

Solving
4dx + 3dxy + -2dx2 + 4dy2 = 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(4x + 3xy + -2x2 + 4y2) = 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 '(4x + 3xy + -2x2 + 4y2)' equal to zero and attempt to solve:

Simplifying
4x + 3xy + -2x2 + 4y2 = 0

Solving
4x + 3xy + -2x2 + 4y2 = 0

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

Add '-4x' to each side of the equation.
4x + 3xy + -2x2 + -4x + 4y2 = 0 + -4x

Reorder the terms:
4x + -4x + 3xy + -2x2 + 4y2 = 0 + -4x

Combine like terms: 4x + -4x = 0
0 + 3xy + -2x2 + 4y2 = 0 + -4x
3xy + -2x2 + 4y2 = 0 + -4x
Remove the zero:
3xy + -2x2 + 4y2 = -4x

Add '-3xy' to each side of the equation.
3xy + -2x2 + -3xy + 4y2 = -4x + -3xy

Reorder the terms:
3xy + -3xy + -2x2 + 4y2 = -4x + -3xy

Combine like terms: 3xy + -3xy = 0
0 + -2x2 + 4y2 = -4x + -3xy
-2x2 + 4y2 = -4x + -3xy

Add '2x2' to each side of the equation.
-2x2 + 2x2 + 4y2 = -4x + -3xy + 2x2

Combine like terms: -2x2 + 2x2 = 0
0 + 4y2 = -4x + -3xy + 2x2
4y2 = -4x + -3xy + 2x2

Add '-4y2' to each side of the equation.
4y2 + -4y2 = -4x + -3xy + 2x2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
0 = -4x + -3xy + 2x2 + -4y2

Simplifying
0 = -4x + -3xy + 2x2 + -4y2

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:

| 9/3x=14 | | 4-2(6x-8)=92 | | 4xn-3=12 | | -2(m+2)=2 | | -5x+6y=-50 | | 3(5k-7)-2(k+4)= | | 4ln(x)=256 | | 11x-2+93=180 | | -8k+9=-127 | | C-2(c-20)=9c | | 10x-5+95=180 | | 4y^2+15y-4=0 | | 3(2x+4)=2(5x+3) | | 4x-6y=46 | | 5x-7=7+4 | | 10x+82=180 | | 149+35= | | 6=6y | | 10x-82=180 | | x(x+4)=16 | | 2x+118-90=180 | | 350-25z=0 | | 1/75t-4.5=7.75 | | 4(x+7)=6x+4(x-2) | | 350-25z=100 | | 10x-4+76=180 | | 10x-4+76=18 | | 250+8x=75+10x | | 4(x-1)+2(x-7)=23 | | -3x-5=6x+4 | | log(x-3)=log(7x-23)-log(x+1) | | 25x+1+76=180 |

Equations solver categories