(x+3y+3)dx+(3x+y+9)dy=0

Simple and best practice solution for (x+3y+3)dx+(3x+y+9)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 (x+3y+3)dx+(3x+y+9)dy=0 equation: 


Simplifying
(x + 3y + 3) * dx + (3x + y + 9) * dy = 0

Reorder the terms:
(3 + x + 3y) * dx + (3x + y + 9) * dy = 0

Reorder the terms for easier multiplication:
dx(3 + x + 3y) + (3x + y + 9) * dy = 0
(3 * dx + x * dx + 3y * dx) + (3x + y + 9) * dy = 0

Reorder the terms:
(3dx + 3dxy + dx2) + (3x + y + 9) * dy = 0
(3dx + 3dxy + dx2) + (3x + y + 9) * dy = 0

Reorder the terms:
3dx + 3dxy + dx2 + (9 + 3x + y) * dy = 0

Reorder the terms for easier multiplication:
3dx + 3dxy + dx2 + dy(9 + 3x + y) = 0
3dx + 3dxy + dx2 + (9 * dy + 3x * dy + y * dy) = 0

Reorder the terms:
3dx + 3dxy + dx2 + (3dxy + 9dy + dy2) = 0
3dx + 3dxy + dx2 + (3dxy + 9dy + dy2) = 0

Reorder the terms:
3dx + 3dxy + 3dxy + dx2 + 9dy + dy2 = 0

Combine like terms: 3dxy + 3dxy = 6dxy
3dx + 6dxy + dx2 + 9dy + dy2 = 0

Solving
3dx + 6dxy + dx2 + 9dy + 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(3x + 6xy + x2 + 9y + 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 '(3x + 6xy + x2 + 9y + y2)' equal to zero and attempt to solve:

Simplifying
3x + 6xy + x2 + 9y + y2 = 0

Solving
3x + 6xy + x2 + 9y + y2 = 0

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

Add '-3x' to each side of the equation.
3x + 6xy + x2 + 9y + -3x + y2 = 0 + -3x

Reorder the terms:
3x + -3x + 6xy + x2 + 9y + y2 = 0 + -3x

Combine like terms: 3x + -3x = 0
0 + 6xy + x2 + 9y + y2 = 0 + -3x
6xy + x2 + 9y + y2 = 0 + -3x
Remove the zero:
6xy + x2 + 9y + y2 = -3x

Add '-6xy' to each side of the equation.
6xy + x2 + 9y + -6xy + y2 = -3x + -6xy

Reorder the terms:
6xy + -6xy + x2 + 9y + y2 = -3x + -6xy

Combine like terms: 6xy + -6xy = 0
0 + x2 + 9y + y2 = -3x + -6xy
x2 + 9y + y2 = -3x + -6xy

Add '-1x2' to each side of the equation.
x2 + 9y + -1x2 + y2 = -3x + -6xy + -1x2

Reorder the terms:
x2 + -1x2 + 9y + y2 = -3x + -6xy + -1x2

Combine like terms: x2 + -1x2 = 0
0 + 9y + y2 = -3x + -6xy + -1x2
9y + y2 = -3x + -6xy + -1x2

Add '-9y' to each side of the equation.
9y + -9y + y2 = -3x + -6xy + -1x2 + -9y

Combine like terms: 9y + -9y = 0
0 + y2 = -3x + -6xy + -1x2 + -9y
y2 = -3x + -6xy + -1x2 + -9y

Add '-1y2' to each side of the equation.
y2 + -1y2 = -3x + -6xy + -1x2 + -9y + -1y2

Combine like terms: y2 + -1y2 = 0
0 = -3x + -6xy + -1x2 + -9y + -1y2

Simplifying
0 = -3x + -6xy + -1x2 + -9y + -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:

| 2-3x-5=1-x | | 98=14y+2 | | 2(2x-4)=8(x+1) | | -5(x-3)=-33 | | 3/(6x+4)=1/(9x+6) | | 7x^2+64x+64=0 | | 4b=8b-9 | | P-1.3=-4.3 | | 12+3x=-x-16 | | -6(-9+5x)=-246 | | -4=P+-2.8 | | -4x-10=2 | | -x-8=8 | | 32t+72=40 | | 2.3=C-3 | | 12-x=-5x+16 | | 6k=-4k+5k | | c^2-11c+30= | | (5-3x)-(-4x+-6)=(8x+11)-(3x-6) | | 5=16x-3 | | -21/3-(-5) | | 1/2(8-6h) | | 5x+3=-44 | | 9g+7=-29 | | p+6.9=-7.6 | | 2r-(-6)=10 | | 5x+(-32)=18 | | -17=11+4x | | r-5=12 | | 7a+(-21)=0 | | 152=19x | | -8-8(-2n-1)=-112 |

Equations solver categories