(3x+2y+7)dx+(2x+2y+1)dy=0

Simple and best practice solution for (3x+2y+7)dx+(2x+2y+1)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+2y+7)dx+(2x+2y+1)dy=0 equation: 


Simplifying
(3x + 2y + 7) * dx + (2x + 2y + 1) * dy = 0

Reorder the terms:
(7 + 3x + 2y) * dx + (2x + 2y + 1) * dy = 0

Reorder the terms for easier multiplication:
dx(7 + 3x + 2y) + (2x + 2y + 1) * dy = 0
(7 * dx + 3x * dx + 2y * dx) + (2x + 2y + 1) * dy = 0

Reorder the terms:
(7dx + 2dxy + 3dx2) + (2x + 2y + 1) * dy = 0
(7dx + 2dxy + 3dx2) + (2x + 2y + 1) * dy = 0

Reorder the terms:
7dx + 2dxy + 3dx2 + (1 + 2x + 2y) * dy = 0

Reorder the terms for easier multiplication:
7dx + 2dxy + 3dx2 + dy(1 + 2x + 2y) = 0
7dx + 2dxy + 3dx2 + (1 * dy + 2x * dy + 2y * dy) = 0

Reorder the terms:
7dx + 2dxy + 3dx2 + (2dxy + 1dy + 2dy2) = 0
7dx + 2dxy + 3dx2 + (2dxy + 1dy + 2dy2) = 0

Reorder the terms:
7dx + 2dxy + 2dxy + 3dx2 + 1dy + 2dy2 = 0

Combine like terms: 2dxy + 2dxy = 4dxy
7dx + 4dxy + 3dx2 + 1dy + 2dy2 = 0

Solving
7dx + 4dxy + 3dx2 + 1dy + 2dy2 = 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(7x + 4xy + 3x2 + y + 2y2) = 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 '(7x + 4xy + 3x2 + y + 2y2)' equal to zero and attempt to solve:

Simplifying
7x + 4xy + 3x2 + y + 2y2 = 0

Solving
7x + 4xy + 3x2 + y + 2y2 = 0

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

Add '-7x' to each side of the equation.
7x + 4xy + 3x2 + y + -7x + 2y2 = 0 + -7x

Reorder the terms:
7x + -7x + 4xy + 3x2 + y + 2y2 = 0 + -7x

Combine like terms: 7x + -7x = 0
0 + 4xy + 3x2 + y + 2y2 = 0 + -7x
4xy + 3x2 + y + 2y2 = 0 + -7x
Remove the zero:
4xy + 3x2 + y + 2y2 = -7x

Add '-4xy' to each side of the equation.
4xy + 3x2 + y + -4xy + 2y2 = -7x + -4xy

Reorder the terms:
4xy + -4xy + 3x2 + y + 2y2 = -7x + -4xy

Combine like terms: 4xy + -4xy = 0
0 + 3x2 + y + 2y2 = -7x + -4xy
3x2 + y + 2y2 = -7x + -4xy

Add '-3x2' to each side of the equation.
3x2 + y + -3x2 + 2y2 = -7x + -4xy + -3x2

Reorder the terms:
3x2 + -3x2 + y + 2y2 = -7x + -4xy + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 + y + 2y2 = -7x + -4xy + -3x2
y + 2y2 = -7x + -4xy + -3x2

Add '-1y' to each side of the equation.
y + -1y + 2y2 = -7x + -4xy + -3x2 + -1y

Combine like terms: y + -1y = 0
0 + 2y2 = -7x + -4xy + -3x2 + -1y
2y2 = -7x + -4xy + -3x2 + -1y

Add '-2y2' to each side of the equation.
2y2 + -2y2 = -7x + -4xy + -3x2 + -1y + -2y2

Combine like terms: 2y2 + -2y2 = 0
0 = -7x + -4xy + -3x2 + -1y + -2y2

Simplifying
0 = -7x + -4xy + -3x2 + -1y + -2y2

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:

| 85+3p=5+2p | | y/12=4/6 | | 11x+18=12x+13 | | Y=2h+2u | | 3c^2-10=182 | | 8(c+5)=4+7c | | 8cosx+6cosx+1=0 | | 12x-8x=240 | | y=-16t^2+58t+3 | | 7+4(6-5x)=7-12x | | 2.4/7.2=x/3.6 | | -3y-6y=-16-18 | | 4.8x-3.6x=-14.4 | | 11x=4x-21 | | -5+3(w-4)=-2 | | 1j-32=45 | | 5x-3(2x-7)=32 | | 4x+1=15x-21 | | (x-2y)+4y=180 | | 2(3y)+x=-15 | | 3q+56=76 | | -2x+12=-2x-4 | | (3p+4)=0 | | 9+3(y-6)=23 | | 2.8+0.1x=0.3(2-x) | | 7a-44=23 | | -24b^2+4ab+a+6b= | | Ln(lny)=lnx+c | | 3/d=9/4.8 | | 8t-33=56 | | (V-6)(v-6)=2v^2-15v+38 | | X/10=7.5 |

Equations solver categories