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

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


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

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

Reorder the terms:
dxy + dy2 + (-4 + 3x + 3y) * dx = 0

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

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

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

Combine like terms: dxy + 3dxy = 4dxy
-4dx + 4dxy + 3dx2 + dy2 = 0

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

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

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

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

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

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

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

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

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

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

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

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

Add '-1y2' to each side of the equation.
y2 + -1y2 = 4x + -4xy + -3x2 + -1y2

Combine like terms: y2 + -1y2 = 0
0 = 4x + -4xy + -3x2 + -1y2

Simplifying
0 = 4x + -4xy + -3x2 + -1y2

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:

| X/20=0.9 | | 7(9x--8)=6244 | | 6x-4=8x+9 | | 5(x-5)=41-6x | | 3x+4=1-x | | x+29+80=180 | | 4x-8=69-7x | | 6x+3=6+3x | | 9=-4(2t-7) | | 8y+17=1-7 | | 3y+7=2y+1 | | (10x+4)+(15x+1)=180 | | (2x+3)+(3x+12)=90 | | 11x-1=5x+8 | | (3x+12)+(2x+3)=180 | | 3x+3y=18023 | | (3x)^5/)(3x)^5 | | (x-2)(x-3)(x-7)=0 | | (7-3f)/4=2 | | x+(x*0.1)=33.33 | | 5x+5=59-4x | | 50y-4-y=12+15y-1 | | 4x+9=30-20x-10+2x | | -(c-9)=-173 | | 2x+z=2a+b | | 101+3z=1-17z | | 5(3s+10)=95 | | 70-4y=10-7y | | 6(2l+8)=180 | | 2a+b-2x=z | | 2x+y=1.6 | | 4(a-6)=12 |

Equations solver categories